Analysis of biodiversity data
Setup
SAD curves
We can obtain the Species Abundance Distribution for our samples To
use the library {sads}, and the example data on moth
abundance.
## [1] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [16] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [31] 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2
## [46] 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3
## [61] 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4
## [76] 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6
## [91] 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8
## [106] 8 8 9 9 9 9 10 10 10 10 11 11 12 12 13
## [121] 13 13 13 13 14 14 15 15 15 15 16 16 16 17 17
## [136] 17 18 18 18 19 19 19 20 20 20 20 21 22 22 22
## [151] 23 23 23 24 25 25 25 26 27 28 28 28 29 29 32
## [166] 34 34 36 36 36 37 37 43 43 44 44 45 49 49 49
## [181] 51 51 51 51 52 53 54 54 57 58 58 60 60 60 61
## [196] 64 67 73 76 76 78 84 89 96 99 109 112 120 122 129
## [211] 135 141 148 149 151 154 177 181 187 190 199 211 221 226 235
## [226] 239 244 246 282 305 306 333 464 560 572 589 604 743 823 2349
Preston plot
First, we are going to obtain the Preston plot, also known as octaves. This plot represents the number of species in classes of logarithm of abundances at base 2.
## octave upper Freq
## 1 0 1 35
## 2 1 2 11
## 3 2 4 29
## 4 3 8 32
## 5 4 16 26
## 6 5 32 32
## 7 6 64 31
## 8 7 128 13
## 9 8 256 19
## 10 9 512 5
## 11 10 1024 6
## 12 11 2048 0
## 13 12 4096 1
## 14 13 8192 0
Whittaker diagram
We can also obtain the Whittaker plot for our data. This is the rank-abundance diagram
Species Abundance Distributions: fitting curves
We are going to fit some curves to the rank abundance plot
# build the model
moths.ge <- fitsad(x=moths, sad="geom") # geometric distribution
moths.ls <- fitsad(x=moths, sad="ls") # log series distribution
moths.ln <- fitsad(x=moths, sad="lnorm") #log-normal distribution
# get rank abundance objects
moths.ge.rad <- radpred(moths.ge)
moths.ls.rad <- radpred(moths.ls)
moths.ln.rad <- radpred(moths.ln)
# Plot the curves
plot(moths.ln.rad)plot(moths.ln.rad, xlab = "Rank", ylab = "Abundance", log = "y",
type = "l", col = "green", lty = 1, lwd = 6)# We can superimpose the curve to the rank plot
plot(moths.rad)
lines(moths.ge.rad, col="red")
lines(moths.ls.rad, col="blue")
lines(moths.ln.rad, col="green")
legend("topright",c("Geometric", "Logseries", "lognormal"),lty=1, col=c("red", "blue", "green"))## 'log Lik.' -1240.137 (df=1)
## 'log Lik.' -1087.713 (df=1)
## 'log Lik.' -1097.723 (df=2)
Alpha diversity
Shannon index
Let us calculate Shannon index using example data from the power point
birds1 <- data.frame(Species = c('BlueTit', 'Robin', 'Magpie',
'GreatTit'),
Abundance = rep(9, 4))
birds1## Species Abundance
## 1 BlueTit 9
## 2 Robin 9
## 3 Magpie 9
## 4 GreatTit 9
## now let us get the pi, ln(pi), N and S to calculate Shannon index
N <- sum(birds1$Abundance)
S <- nrow(birds1)
pi <- birds1$Abundance/N
lnpi <- log(pi)
H <- -sum(pi*lnpi)
H## [1] 1.386294
Community structure: {vegan} package
vegdist() function allows calculating multiple community dissimilarity indices.
# 1. transpose the data
birds1.transpose <- as.data.frame(t(birds1[, -1]))
colnames(birds1.transpose) <- birds1$Species
birds1.transpose## BlueTit Robin Magpie GreatTit
## 1 9 9 9 9
## [1] 1.386294
Properties of Diversity indices
Shannon diversity vs Hill numbers
If we have two communities with no species in common, the diversity of both together should be the sum of the diversities of each one
# We create a second community with no species in common with the first one
birds2 <- data.frame(Species = c('Sparrow', 'Dove', 'Crow'),
Abundance = c(4,5,20))
birds2 ## Species Abundance
## 1 Sparrow 4
## 2 Dove 5
## 3 Crow 20
# the transpose matrix for the analysis
birds2.transpose <- as.data.frame(t(birds2[, -1]))
colnames(birds2.transpose) <- birds2$Species
birds2.transpose## Sparrow Dove Crow
## 1 4 5 20
# Both communities in the same table
# transpose data and get sums
birds.both <- merge(birds1, birds2, by = 'Species', all = T)
birds.both$Abundance.x[is.na(birds.both$Abundance.x)] <- 0
birds.both$Abundance.y[is.na(birds.both$Abundance.y)] <- 0
birds.both## Species Abundance.x Abundance.y
## 1 BlueTit 9 0
## 2 Crow 0 20
## 3 Dove 0 5
## 4 GreatTit 9 0
## 5 Magpie 9 0
## 6 Robin 9 0
## 7 Sparrow 0 4
## [1] 9 20 5 9 9 9 4
both.trans <- as.data.frame(t(birds.both[, -1]))
colnames(both.trans) <- birds.both$Species
rownames(both.trans) <- c("birds1", "birds2")
both.trans## BlueTit Crow Dove GreatTit Magpie Robin Sparrow
## birds1 9 0 0 9 9 9 0
## birds2 0 20 5 0 0 0 4
all.trans <- colSums(both.trans)
# shannon diversity for each sample and for the sum
H1 <- diversity(both.trans, index = "shannon")
H2 <- diversity(all.trans, index = "shannon")
H1## birds1 birds2
## 1.3862944 0.8325713
## [1] 1.826586
## Observed Estimator Est_s.e. 95% Lower 95% Upper
## Species Richness 4 4.000000 0.1000000 3.804004 4.195996
## Shannon diversity 4 4.174206 0.1937886 3.794388 4.554025
## Simpson diversity 4 4.375000 0.3175868 3.752541 4.997459
## Observed Estimator Est_s.e. 95% Lower 95% Upper
## Species Richness 3.000000 3.000000 0.1216926 2.761487 3.238513
## Shannon diversity 2.299223 2.383059 0.2797827 1.834695 2.931423
## Simpson diversity 1.907029 1.970874 0.3331115 1.317987 2.623760
## Observed Estimator Est_s.e. 95% Lower 95% Upper
## Species Richness 7.000000 7.000000 0.1714466 6.663971 7.336029
## Shannon diversity 6.212639 6.513826 0.3119010 5.902512 7.125141
## Simpson diversity 5.522876 5.942857 0.5244555 4.914943 6.970771
Hill Numbers
Get the Hill Number with q = 0 (Species richness)
Load data from the library about spider samples in two locations
## List of 2
## $ Girdled: num [1:26] 46 22 17 15 15 9 8 6 6 4 ...
## $ Logged : num [1:37] 88 22 16 15 13 10 8 8 7 7 ...
## Assemblage n S.obs SC f1 f2 f3 f4 f5 f6 f7 f8 f9 f10
## 1 Girdled 168 26 0.9289 12 4 0 1 0 2 0 1 1 0
## 2 Logged 252 37 0.9446 14 4 4 3 1 0 3 2 0 1
#Show a summary of the data with diversity estimates in rarefied and extrapolated samples
example1$iNextEst## $size_based
## Assemblage m Method Order.q qD qD.LCL qD.UCL SC
## 1 Girdled 1 Rarefaction 0 1.000000 1.000000 1.000000 0.1223268
## 2 Girdled 10 Rarefaction 0 6.478617 6.097744 6.859490 0.5969308
## 3 Girdled 19 Rarefaction 0 9.450323 8.779153 10.121492 0.7380651
## 4 Girdled 28 Rarefaction 0 11.514220 10.589344 12.439095 0.8034337
## 5 Girdled 37 Rarefaction 0 13.126817 11.959159 14.294475 0.8389628
## 6 Girdled 47 Rarefaction 0 14.622424 13.191304 16.053544 0.8623491
## 7 Girdled 56 Rarefaction 0 15.802849 14.137716 17.467982 0.8760357
## 8 Girdled 65 Rarefaction 0 16.877170 14.980267 18.774072 0.8858194
## 9 Girdled 74 Rarefaction 0 17.873934 15.747614 20.000254 0.8931774
## 10 Girdled 84 Rarefaction 0 18.912360 16.534235 21.290484 0.8995141
## 11 Girdled 93 Rarefaction 0 19.797701 17.195969 22.399432 0.9041168
## 12 Girdled 102 Rarefaction 0 20.644613 17.822183 23.467042 0.9080200
## 13 Girdled 111 Rarefaction 0 21.458439 18.418110 24.498767 0.9114464
## 14 Girdled 120 Rarefaction 0 22.242813 18.987137 25.498489 0.9145496
## 15 Girdled 130 Rarefaction 0 23.082755 19.590350 26.575160 0.9177469
## 16 Girdled 139 Rarefaction 0 23.812028 20.108348 27.515707 0.9204781
## 17 Girdled 148 Rarefaction 0 24.517097 20.603260 28.430934 0.9231226
## 18 Girdled 157 Rarefaction 0 25.198592 21.075090 29.322095 0.9257162
## 19 Girdled 167 Rarefaction 0 25.928571 21.571840 30.285303 0.9285714
## 20 Girdled 168 Observed 0 26.000000 21.619892 30.380108 0.9288554
## 21 Girdled 169 Extrapolation 0 26.071145 21.667648 30.474642 0.9291383
## 22 Girdled 177 Extrapolation 0 26.630211 22.039090 31.221332 0.9313612
## 23 Girdled 186 Extrapolation 0 27.238226 22.434828 32.041623 0.9337788
## 24 Girdled 195 Extrapolation 0 27.824825 22.807733 32.841916 0.9361112
## 25 Girdled 204 Extrapolation 0 28.390763 23.158454 33.623072 0.9383615
## 26 Girdled 212 Extrapolation 0 28.877064 23.452128 34.301999 0.9402951
## 27 Girdled 221 Extrapolation 0 29.405941 23.762808 35.049073 0.9423979
## 28 Girdled 230 Extrapolation 0 29.916190 24.053317 35.779063 0.9444268
## 29 Girdled 239 Extrapolation 0 30.408468 24.324385 36.492550 0.9463841
## 30 Girdled 248 Extrapolation 0 30.883406 24.576751 37.190062 0.9482726
## 31 Girdled 256 Extrapolation 0 31.291513 24.785975 37.797050 0.9498953
## 32 Girdled 265 Extrapolation 0 31.735349 25.005034 38.465665 0.9516600
## 33 Girdled 274 Extrapolation 0 32.163554 25.207516 39.119591 0.9533626
## 34 Girdled 283 Extrapolation 0 32.576676 25.394141 39.759211 0.9550052
## 35 Girdled 292 Extrapolation 0 32.975248 25.565612 40.384884 0.9565900
## 36 Girdled 300 Extrapolation 0 33.317733 25.705861 40.929604 0.9579518
## 37 Girdled 309 Extrapolation 0 33.690203 25.850559 41.529847 0.9594328
## 38 Girdled 318 Extrapolation 0 34.049555 25.982026 42.117084 0.9608616
## 39 Girdled 327 Extrapolation 0 34.396250 26.100886 42.691613 0.9622401
## 40 Girdled 336 Extrapolation 0 34.730733 26.207741 43.253726 0.9635701
## 41 Logged 1 Rarefaction 0 1.000000 1.000000 1.000000 0.1445014
## 42 Logged 14 Rarefaction 0 8.353329 7.744893 8.961765 0.5883461
## 43 Logged 28 Rarefaction 0 13.222439 12.164855 14.280023 0.7118410
## 44 Logged 42 Rarefaction 0 16.765525 15.297733 18.233317 0.7809656
## 45 Logged 56 Rarefaction 0 19.532844 17.669087 21.396602 0.8236635
## 46 Logged 70 Rarefaction 0 21.804004 19.553979 24.054029 0.8521804
## 47 Logged 84 Rarefaction 0 23.734513 21.108081 26.360945 0.8724155
## 48 Logged 98 Rarefaction 0 25.418159 22.426447 28.409871 0.8874459
## 49 Logged 112 Rarefaction 0 26.915447 23.570701 30.260192 0.8990090
## 50 Logged 126 Rarefaction 0 28.267510 24.582597 31.952423 0.9081562
## 51 Logged 139 Rarefaction 0 29.418556 25.429422 33.407690 0.9150769
## 52 Logged 153 Rarefaction 0 30.565961 26.261559 34.870363 0.9212585
## 53 Logged 167 Rarefaction 0 31.633749 27.026466 36.241032 0.9264196
## 54 Logged 181 Rarefaction 0 32.634744 27.736381 37.533107 0.9307716
## 55 Logged 195 Rarefaction 0 33.579251 28.400922 38.757579 0.9344627
## 56 Logged 209 Rarefaction 0 34.475787 29.027849 39.923725 0.9376004
## 57 Logged 223 Rarefaction 0 35.331544 29.623537 41.039550 0.9402668
## 58 Logged 237 Rarefaction 0 36.152671 30.193270 42.112071 0.9425289
## 59 Logged 251 Rarefaction 0 36.944444 30.741404 43.147485 0.9444444
## 60 Logged 252 Observed 0 37.000000 30.779827 43.220173 0.9445706
## 61 Logged 253 Extrapolation 0 37.055429 30.818159 43.292700 0.9446965
## 62 Logged 266 Extrapolation 0 37.764657 31.307830 44.221484 0.9463075
## 63 Logged 279 Extrapolation 0 38.453226 31.780805 45.125647 0.9478715
## 64 Logged 292 Extrapolation 0 39.121736 32.236326 46.007147 0.9493900
## 65 Logged 305 Extrapolation 0 39.770774 32.673875 46.867672 0.9508643
## 66 Logged 319 Extrapolation 0 40.448609 33.124637 47.772582 0.9524039
## 67 Logged 332 Extrapolation 0 41.058995 33.524092 48.593898 0.9537904
## 68 Logged 345 Extrapolation 0 41.651601 33.905191 49.398011 0.9551365
## 69 Logged 358 Extrapolation 0 42.226944 34.268107 50.185781 0.9564433
## 70 Logged 371 Extrapolation 0 42.785528 34.613121 50.957935 0.9577121
## 71 Logged 385 Extrapolation 0 43.368897 34.965069 51.772725 0.9590372
## 72 Logged 398 Extrapolation 0 43.894216 35.274130 52.514302 0.9602304
## 73 Logged 411 Extrapolation 0 44.404233 35.566592 53.241874 0.9613889
## 74 Logged 424 Extrapolation 0 44.899393 35.842966 53.955821 0.9625136
## 75 Logged 437 Extrapolation 0 45.380130 36.103790 54.656470 0.9636056
## 76 Logged 451 Extrapolation 0 45.882197 36.367917 55.396477 0.9647460
## 77 Logged 464 Extrapolation 0 46.334305 36.598207 56.070403 0.9657729
## 78 Logged 477 Extrapolation 0 46.773243 36.814651 56.731835 0.9667699
## 79 Logged 490 Extrapolation 0 47.199395 37.017800 57.380991 0.9677379
## 80 Logged 504 Extrapolation 0 47.644456 37.222328 58.066584 0.9687488
## SC.LCL SC.UCL
## 1 0.09554119 0.1491124
## 2 0.55608912 0.6377726
## 3 0.70205128 0.7740790
## 4 0.77004820 0.8368193
## 5 0.80741027 0.8705154
## 6 0.83208135 0.8926170
## 7 0.84656226 0.9055092
## 8 0.85696787 0.9146708
## 9 0.86484561 0.9215093
## 10 0.87167411 0.9273540
## 11 0.87665309 0.9315804
## 12 0.88086915 0.9351708
## 13 0.88453882 0.9383539
## 14 0.88780712 0.9412922
## 15 0.89108474 0.9444091
## 16 0.89378569 0.9471705
## 17 0.89629434 0.9499509
## 18 0.89863878 0.9527937
## 19 0.90107547 0.9560674
## 20 0.90131058 0.9564003
## 21 0.90154453 0.9567321
## 22 0.90337799 0.9593445
## 23 0.90537280 0.9621848
## 24 0.90731113 0.9649113
## 25 0.90920399 0.9675189
## 26 0.91085442 0.9697357
## 27 0.91267950 0.9721164
## 28 0.91447407 0.9743795
## 29 0.91624002 0.9765283
## 30 0.91797833 0.9785668
## 31 0.91950063 0.9802899
## 32 0.92118751 0.9821325
## 33 0.92284698 0.9838782
## 34 0.92447871 0.9855318
## 35 0.92608229 0.9870978
## 36 0.92748373 0.9884199
## 37 0.92903304 0.9898325
## 38 0.93055310 0.9911701
## 39 0.93204363 0.9924366
## 40 0.93350440 0.9936358
## 41 0.10628542 0.1827173
## 42 0.54931352 0.6273786
## 43 0.67674150 0.7469406
## 44 0.74791525 0.8140159
## 45 0.79208786 0.8552391
## 46 0.82180457 0.8825562
## 47 0.84314811 0.9016830
## 48 0.85925402 0.9156377
## 49 0.87185120 0.9261667
## 50 0.88196361 0.9343488
## 51 0.88969608 0.9404578
## 52 0.89664200 0.9458750
## 53 0.90243981 0.9503995
## 54 0.90729171 0.9542516
## 55 0.91134094 0.9575845
## 56 0.91469349 0.9605074
## 57 0.91743266 0.9631010
## 58 0.91962835 0.9654294
## 59 0.92134231 0.9675466
## 60 0.92144930 0.9676920
## 61 0.92155564 0.9678374
## 62 0.92288801 0.9697270
## 63 0.92415304 0.9715900
## 64 0.92537761 0.9734024
## 65 0.92657873 0.9751498
## 66 0.92785776 0.9769501
## 67 0.92903812 0.9785427
## 68 0.93021435 0.9800586
## 69 0.93138747 0.9814991
## 70 0.93255738 0.9828668
## 71 0.93381281 0.9842616
## 72 0.93497319 0.9854876
## 73 0.93612705 0.9866507
## 74 0.93727303 0.9877542
## 75 0.93840980 0.9888013
## 76 0.93962228 0.9898697
## 77 0.94073602 0.9908098
## 78 0.94183702 0.9917029
## 79 0.94292436 0.9925515
## 80 0.94407913 0.9934186
##
## $coverage_based
## Assemblage SC m Method Order.q qD qD.LCL
## 1 Girdled 0.1223268 1 Rarefaction 0 1.000000 0.9071599
## 2 Girdled 0.5969305 10 Rarefaction 0 6.478611 5.4696508
## 3 Girdled 0.7380650 19 Rarefaction 0 9.450319 7.9518378
## 4 Girdled 0.8034337 28 Rarefaction 0 11.514219 9.4582698
## 5 Girdled 0.8389628 37 Rarefaction 0 13.126816 10.4604440
## 6 Girdled 0.8623492 47 Rarefaction 0 14.622425 11.2702104
## 7 Girdled 0.8760358 56 Rarefaction 0 15.802851 11.8585547
## 8 Girdled 0.8858194 65 Rarefaction 0 16.877170 12.3751962
## 9 Girdled 0.8931774 74 Rarefaction 0 17.873934 12.8531882
## 10 Girdled 0.8995141 84 Rarefaction 0 18.912361 13.3511972
## 11 Girdled 0.9041168 93 Rarefaction 0 19.797701 13.7576250
## 12 Girdled 0.9080200 102 Rarefaction 0 20.644611 14.0944625
## 13 Girdled 0.9114464 111 Rarefaction 0 21.458439 14.2449878
## 14 Girdled 0.9145496 120 Rarefaction 0 22.242813 14.2140951
## 15 Girdled 0.9177469 130 Rarefaction 0 23.082756 14.1656267
## 16 Girdled 0.9204781 139 Rarefaction 0 23.812027 14.1097927
## 17 Girdled 0.9231226 148 Rarefaction 0 24.517096 14.0390069
## 18 Girdled 0.9257162 157 Rarefaction 0 25.198591 13.9494389
## 19 Girdled 0.9285714 166 Rarefaction 0 25.867399 13.7657106
## 20 Girdled 0.9288554 168 Observed 0 26.000000 13.8177195
## 21 Girdled 0.9291383 169 Extrapolation 0 26.071145 13.7956082
## 22 Girdled 0.9313612 177 Extrapolation 0 26.630211 13.6843740
## 23 Girdled 0.9337788 186 Extrapolation 0 27.238226 13.5609746
## 24 Girdled 0.9361112 195 Extrapolation 0 27.824825 13.4402807
## 25 Girdled 0.9383615 204 Extrapolation 0 28.390763 13.3230102
## 26 Girdled 0.9402951 212 Extrapolation 0 28.877064 13.2218876
## 27 Girdled 0.9423979 221 Extrapolation 0 29.405941 13.1112171
## 28 Girdled 0.9444268 230 Extrapolation 0 29.916190 13.0009617
## 29 Girdled 0.9463841 239 Extrapolation 0 30.408468 12.8918133
## 30 Girdled 0.9482726 248 Extrapolation 0 30.883406 12.7881534
## 31 Girdled 0.9498953 256 Extrapolation 0 31.291513 12.6982816
## 32 Girdled 0.9516600 265 Extrapolation 0 31.735349 12.6043377
## 33 Girdled 0.9533626 274 Extrapolation 0 32.163554 12.5185962
## 34 Girdled 0.9550052 283 Extrapolation 0 32.576676 12.4304588
## 35 Girdled 0.9565900 292 Extrapolation 0 32.975248 12.3397193
## 36 Girdled 0.9579518 300 Extrapolation 0 33.317733 12.2574345
## 37 Girdled 0.9594328 309 Extrapolation 0 33.690203 12.1637440
## 38 Girdled 0.9608616 318 Extrapolation 0 34.049555 12.0687873
## 39 Girdled 0.9622401 327 Extrapolation 0 34.396250 11.9731828
## 40 Girdled 0.9635701 336 Extrapolation 0 34.730733 11.8773854
## 41 Logged 0.1445014 1 Rarefaction 0 1.000000 0.8332699
## 42 Logged 0.5883460 14 Rarefaction 0 8.353325 6.4788937
## 43 Logged 0.7118410 28 Rarefaction 0 13.222439 10.6995103
## 44 Logged 0.7809655 42 Rarefaction 0 16.765522 13.4965340
## 45 Logged 0.8236635 56 Rarefaction 0 19.532847 15.3809941
## 46 Logged 0.8521804 70 Rarefaction 0 21.804005 16.7241258
## 47 Logged 0.8724155 84 Rarefaction 0 23.734512 17.7499970
## 48 Logged 0.8874459 98 Rarefaction 0 25.418157 18.5663682
## 49 Logged 0.8990090 112 Rarefaction 0 26.915446 19.2367276
## 50 Logged 0.9081562 126 Rarefaction 0 28.267511 19.7856467
## 51 Logged 0.9150769 139 Rarefaction 0 29.418557 20.1897319
## 52 Logged 0.9212585 153 Rarefaction 0 30.565959 20.5680630
## 53 Logged 0.9264196 167 Rarefaction 0 31.633750 20.9465685
## 54 Logged 0.9307716 181 Rarefaction 0 32.634745 21.3274185
## 55 Logged 0.9344627 195 Rarefaction 0 33.579250 21.6770445
## 56 Logged 0.9376004 209 Rarefaction 0 34.475786 22.0269985
## 57 Logged 0.9402668 223 Rarefaction 0 35.331543 22.4083315
## 58 Logged 0.9425289 237 Rarefaction 0 36.152671 22.8277058
## 59 Logged 0.9444444 250 Rarefaction 0 36.892629 23.2382326
## 60 Logged 0.9445706 252 Observed 0 37.000000 23.3249385
## 61 Logged 0.9446965 253 Extrapolation 0 37.055429 23.3587643
## 62 Logged 0.9463075 266 Extrapolation 0 37.764657 23.8044766
## 63 Logged 0.9478715 279 Extrapolation 0 38.453226 24.2647823
## 64 Logged 0.9493900 292 Extrapolation 0 39.121736 24.7546666
## 65 Logged 0.9508643 305 Extrapolation 0 39.770774 25.1942229
## 66 Logged 0.9524039 319 Extrapolation 0 40.448609 25.6087985
## 67 Logged 0.9537904 332 Extrapolation 0 41.058995 25.9526425
## 68 Logged 0.9551365 345 Extrapolation 0 41.651601 26.2606655
## 69 Logged 0.9564433 358 Extrapolation 0 42.226944 26.5465201
## 70 Logged 0.9577121 371 Extrapolation 0 42.785528 26.8448783
## 71 Logged 0.9590372 385 Extrapolation 0 43.368897 27.1057664
## 72 Logged 0.9602304 398 Extrapolation 0 43.894216 27.3075883
## 73 Logged 0.9613889 411 Extrapolation 0 44.404233 27.4790754
## 74 Logged 0.9625136 424 Extrapolation 0 44.899393 27.6188435
## 75 Logged 0.9636056 437 Extrapolation 0 45.380130 27.7322993
## 76 Logged 0.9647460 451 Extrapolation 0 45.882197 27.8289605
## 77 Logged 0.9657729 464 Extrapolation 0 46.334305 27.8972775
## 78 Logged 0.9667699 477 Extrapolation 0 46.773243 27.9474987
## 79 Logged 0.9677379 490 Extrapolation 0 47.199395 27.9819968
## 80 Logged 0.9687488 504 Extrapolation 0 47.644456 28.0039467
## qD.UCL
## 1 1.092840
## 2 7.487572
## 3 10.948800
## 4 13.570168
## 5 15.793188
## 6 17.974640
## 7 19.747147
## 8 21.379143
## 9 22.894680
## 10 24.473526
## 11 25.837777
## 12 27.194759
## 13 28.671890
## 14 30.271532
## 15 31.999886
## 16 33.514261
## 17 34.995184
## 18 36.447743
## 19 37.969088
## 20 38.182280
## 21 38.346681
## 22 39.576049
## 23 40.915477
## 24 42.209369
## 25 43.458516
## 26 44.532239
## 27 45.700664
## 28 46.831418
## 29 47.925122
## 30 48.978660
## 31 49.884744
## 32 50.866361
## 33 51.808511
## 34 52.722893
## 35 53.610776
## 36 54.378031
## 37 55.216663
## 38 56.030323
## 39 56.819317
## 40 57.584081
## 41 1.166730
## 42 10.227756
## 43 15.745369
## 44 20.034509
## 45 23.684700
## 46 26.883885
## 47 29.719027
## 48 32.269946
## 49 34.594164
## 50 36.749375
## 51 38.647382
## 52 40.563855
## 53 42.320931
## 54 43.942071
## 55 45.481456
## 56 46.924573
## 57 48.254755
## 58 49.477636
## 59 50.547025
## 60 50.675061
## 61 50.752094
## 62 51.724838
## 63 52.641669
## 64 53.488806
## 65 54.347324
## 66 55.288420
## 67 56.165348
## 68 57.042536
## 69 57.907368
## 70 58.726178
## 71 59.632027
## 72 60.480844
## 73 61.329391
## 74 62.179943
## 75 63.027961
## 76 63.935434
## 77 64.771333
## 78 65.598988
## 79 66.416794
## 80 67.284966
## Assemblage Diversity Observed Estimator s.e. LCL
## 1 Girdled Species richness 26.000000 43.892857 22.3680601 26.000000
## 2 Girdled Shannon diversity 12.059650 13.826253 1.3973306 11.087536
## 3 Girdled Simpson diversity 7.840000 8.174825 0.9695220 6.274597
## 4 Logged Species richness 37.000000 61.402778 18.9120539 37.000000
## 5 Logged Shannon diversity 14.421002 16.337069 1.7549259 12.897477
## 6 Logged Simpson diversity 6.761499 6.920350 0.9646384 5.029693
## UCL
## 1 87.733449
## 2 16.564971
## 3 10.075053
## 4 98.469722
## 5 19.776660
## 6 8.811007
Rarefaction/extrapolation
Get new values
We can specify the sample size for which we want to rarefy/extrapolate For Species richness, the extrapolation is reliable up to double the reference sample. For q = 1 or 2, the extrapolation can be extended to the asymptote.
We run the code simultaneously for the three Hill numbers:
# We define the number of samples size that we want to use for estimation
m <- c(1, 50, 100, 200, 400)
example2 <- iNEXT(spider, q = c(0,1,2), datatype = "abundance", size = m)
example2$iNextEst ## $size_based
## Assemblage m Method Order.q qD qD.LCL qD.UCL SC
## 1 Girdled 1 Rarefaction 0 1.000000 1.000000 1.000000 0.1223268
## 2 Girdled 50 Rarefaction 0 15.030098 13.001575 17.058621 0.8674807
## 3 Girdled 100 Rarefaction 0 20.459426 16.951987 23.966865 0.9072004
## 4 Girdled 167 Rarefaction 0 25.928571 20.626402 31.230741 0.9285714
## 5 Girdled 168 Observed 0 26.000000 20.671410 31.328590 0.9288554
## 6 Girdled 169 Extrapolation 0 26.071145 20.716131 31.426158 0.9291383
## 7 Girdled 200 Extrapolation 0 28.141739 21.963095 34.320382 0.9373713
## 8 Girdled 400 Extrapolation 0 36.792837 24.941190 48.644484 0.9717693
## 9 Girdled 1 Rarefaction 1 1.000000 1.000000 1.000000 0.1223268
## 10 Girdled 50 Rarefaction 1 9.939329 8.549262 11.329396 0.8674807
## 11 Girdled 100 Rarefaction 1 11.266546 9.528915 13.004177 0.9072004
## 12 Girdled 167 Rarefaction 1 12.051422 10.104907 13.997937 0.9285714
## 13 Girdled 168 Observed 1 12.059650 10.110955 14.008346 0.9288554
## 14 Girdled 169 Extrapolation 1 12.067840 10.116975 14.018706 0.9291383
## 15 Girdled 200 Extrapolation 1 12.303742 10.290166 14.317318 0.9373713
## 16 Girdled 400 Extrapolation 1 13.225154 10.953459 15.496849 0.9717693
## 17 Girdled 1 Rarefaction 2 1.000000 1.000000 1.000000 0.1223268
## 18 Girdled 50 Rarefaction 2 7.148973 5.997310 8.300635 0.8674807
## 19 Girdled 100 Rarefaction 2 7.627561 6.305545 8.949577 0.9072004
## 20 Girdled 167 Rarefaction 2 7.838078 6.437420 9.238735 0.9285714
## 21 Girdled 168 Observed 2 7.840000 6.438614 9.241386 0.9288554
## 22 Girdled 169 Extrapolation 2 7.841901 6.439794 9.244007 0.9291383
## 23 Girdled 200 Extrapolation 2 7.891717 6.470659 9.312775 0.9373713
## 24 Girdled 400 Extrapolation 2 8.030777 6.556141 9.505413 0.9717693
## 25 Logged 1 Rarefaction 0 1.000000 1.000000 1.000000 0.1445014
## 26 Logged 50 Rarefaction 0 18.420022 16.775609 20.064435 0.8076088
## 27 Logged 100 Rarefaction 0 25.642342 22.971882 28.312801 0.8892800
## 28 Logged 200 Rarefaction 0 33.904551 29.507519 38.301583 0.9356422
## 29 Logged 251 Rarefaction 0 36.944444 31.676251 42.212638 0.9444444
## 30 Logged 252 Observed 0 37.000000 31.714694 42.285306 0.9445706
## 31 Logged 253 Extrapolation 0 37.055429 31.753008 42.357850 0.9446965
## 32 Logged 400 Extrapolation 0 43.973665 36.006775 51.940555 0.9604109
## 33 Logged 1 Rarefaction 1 1.000000 1.000000 1.000000 0.1445014
## 34 Logged 50 Rarefaction 1 10.747324 9.136387 12.358262 0.8076088
## 35 Logged 100 Rarefaction 1 12.648884 10.643316 14.654452 0.8892800
## 36 Logged 200 Rarefaction 1 14.053826 11.749458 16.358195 0.9356422
## 37 Logged 251 Rarefaction 1 14.415055 12.031487 16.798622 0.9444444
## 38 Logged 252 Observed 1 14.421002 12.036119 16.805884 0.9445706
## 39 Logged 253 Extrapolation 1 14.426930 12.040735 16.813124 0.9446965
## 40 Logged 400 Extrapolation 1 15.125810 12.580401 17.671220 0.9604109
## 41 Logged 1 Rarefaction 2 1.000000 1.000000 1.000000 0.1445014
## 42 Logged 50 Rarefaction 2 6.187685 4.845945 7.529425 0.8076088
## 43 Logged 100 Rarefaction 2 6.533542 5.020635 8.046448 0.8892800
## 44 Logged 200 Rarefaction 2 6.721385 5.110815 8.331955 0.9356422
## 45 Logged 251 Rarefaction 2 6.760881 5.129349 8.392413 0.9444444
## 46 Logged 252 Observed 2 6.761499 5.129638 8.393360 0.9445706
## 47 Logged 253 Extrapolation 2 6.762113 5.129925 8.394301 0.9446965
## 48 Logged 400 Extrapolation 2 6.819417 5.156543 8.482291 0.9604109
## SC.LCL SC.UCL
## 1 0.09825537 0.1463982
## 2 0.82874681 0.9062145
## 3 0.87356304 0.9408377
## 4 0.89457124 0.9625716
## 5 0.89483017 0.9628807
## 6 0.89508763 0.9631890
## 7 0.90248267 0.9722599
## 8 0.93683780 1.0000000
## 9 0.09825537 0.1463982
## 10 0.82874681 0.9062145
## 11 0.87356304 0.9408377
## 12 0.89457124 0.9625716
## 13 0.89483017 0.9628807
## 14 0.89508763 0.9631890
## 15 0.90248267 0.9722599
## 16 0.93683780 1.0000000
## 17 0.09825537 0.1463982
## 18 0.82874681 0.9062145
## 19 0.87356304 0.9408377
## 20 0.89457124 0.9625716
## 21 0.89483017 0.9628807
## 22 0.89508763 0.9631890
## 23 0.90248267 0.9722599
## 24 0.93683780 1.0000000
## 25 0.10709652 0.1819062
## 26 0.77682191 0.8383957
## 27 0.86522555 0.9133344
## 28 0.91315310 0.9581313
## 29 0.92128626 0.9676026
## 30 0.92138980 0.9677515
## 31 0.92149287 0.9679002
## 32 0.93496912 0.9858526
## 33 0.10709652 0.1819062
## 34 0.77682191 0.8383957
## 35 0.86522555 0.9133344
## 36 0.91315310 0.9581313
## 37 0.92128626 0.9676026
## 38 0.92138980 0.9677515
## 39 0.92149287 0.9679002
## 40 0.93496912 0.9858526
## 41 0.10709652 0.1819062
## 42 0.77682191 0.8383957
## 43 0.86522555 0.9133344
## 44 0.91315310 0.9581313
## 45 0.92128626 0.9676026
## 46 0.92138980 0.9677515
## 47 0.92149287 0.9679002
## 48 0.93496912 0.9858526
##
## $coverage_based
## Assemblage SC m Method Order.q qD qD.LCL
## 1 Girdled 0.1223268 1 Rarefaction 0 1.000000 0.9033905
## 2 Girdled 0.8674806 50 Rarefaction 0 15.030097 10.0829900
## 3 Girdled 0.9072004 100 Rarefaction 0 20.459428 10.9432849
## 4 Girdled 0.9285714 166 Rarefaction 0 25.867399 9.1807474
## 5 Girdled 0.9288554 168 Observed 0 26.000000 9.2030447
## 6 Girdled 0.9291383 169 Extrapolation 0 26.071145 9.1635477
## 7 Girdled 0.9373713 200 Extrapolation 0 28.141739 7.9272034
## 8 Girdled 0.9717693 400 Extrapolation 0 36.792837 1.8996118
## 9 Girdled 0.1223268 1 Rarefaction 1 1.000000 0.9072479
## 10 Girdled 0.8674806 50 Rarefaction 1 9.939329 7.9716659
## 11 Girdled 0.9072004 100 Rarefaction 1 11.266547 8.9914931
## 12 Girdled 0.9285714 166 Rarefaction 1 12.044343 9.5472114
## 13 Girdled 0.9288554 168 Observed 1 12.059650 9.5596113
## 14 Girdled 0.9291383 169 Extrapolation 1 12.067840 9.5656862
## 15 Girdled 0.9373713 200 Extrapolation 1 12.303742 9.7405097
## 16 Girdled 0.9717693 400 Extrapolation 1 13.225154 10.6116923
## 17 Girdled 0.1223268 1 Rarefaction 2 1.000000 0.9126521
## 18 Girdled 0.8674806 50 Rarefaction 2 7.148972 5.9419698
## 19 Girdled 0.9072004 100 Rarefaction 2 7.627561 6.3266368
## 20 Girdled 0.9285714 166 Rarefaction 2 7.836419 6.4583945
## 21 Girdled 0.9288554 168 Observed 2 7.840000 6.4609178
## 22 Girdled 0.9291383 169 Extrapolation 2 7.841901 6.4621397
## 23 Girdled 0.9373713 200 Extrapolation 2 7.891717 6.4932524
## 24 Girdled 0.9717693 400 Extrapolation 2 8.030777 6.5747947
## 25 Logged 0.1445014 1 Rarefaction 0 1.000000 0.8340298
## 26 Logged 0.8076089 50 Rarefaction 0 18.420025 15.0111263
## 27 Logged 0.8892800 100 Rarefaction 0 25.642343 20.5797904
## 28 Logged 0.9356422 200 Rarefaction 0 33.904552 23.3288400
## 29 Logged 0.9444444 250 Rarefaction 0 36.892629 23.6445584
## 30 Logged 0.9445706 252 Observed 0 37.000000 23.7151484
## 31 Logged 0.9446965 253 Extrapolation 0 37.055429 23.7284350
## 32 Logged 0.9604109 400 Extrapolation 0 43.973665 25.7169660
## 33 Logged 0.1445014 1 Rarefaction 1 1.000000 0.8412972
## 34 Logged 0.8076089 50 Rarefaction 1 10.747325 8.9013476
## 35 Logged 0.8892800 100 Rarefaction 1 12.648884 10.4798208
## 36 Logged 0.9356422 200 Rarefaction 1 14.053826 11.4489258
## 37 Logged 0.9444444 250 Rarefaction 1 14.409488 11.6956060
## 38 Logged 0.9445706 252 Observed 1 14.421002 11.7059825
## 39 Logged 0.9446965 253 Extrapolation 1 14.426930 11.7106295
## 40 Logged 0.9604109 400 Extrapolation 1 15.125810 12.2642897
## 41 Logged 0.1445014 1 Rarefaction 2 1.000000 0.8513502
## 42 Logged 0.8076089 50 Rarefaction 2 6.187685 4.8726048
## 43 Logged 0.8892800 100 Rarefaction 2 6.533542 5.0420442
## 44 Logged 0.9356422 200 Rarefaction 2 6.721385 5.1222250
## 45 Logged 0.9444444 250 Rarefaction 2 6.760301 5.1442563
## 46 Logged 0.9445706 252 Observed 2 6.761499 5.1452391
## 47 Logged 0.9446965 253 Extrapolation 2 6.762113 5.1456530
## 48 Logged 0.9604109 400 Extrapolation 2 6.819417 5.1757128
## qD.UCL
## 1 1.096610
## 2 19.977205
## 3 29.975571
## 4 42.554051
## 5 42.796955
## 6 42.978741
## 7 48.356274
## 8 71.686063
## 9 1.092752
## 10 11.906992
## 11 13.541600
## 12 14.541475
## 13 14.559690
## 14 14.569995
## 15 14.866974
## 16 15.838616
## 17 1.087348
## 18 8.355975
## 19 8.928485
## 20 9.214443
## 21 9.219082
## 22 9.221661
## 23 9.290181
## 24 9.486759
## 25 1.165970
## 26 21.828923
## 27 30.704896
## 28 44.480263
## 29 50.140699
## 30 50.284852
## 31 50.382424
## 32 62.230364
## 33 1.158703
## 34 12.593303
## 35 14.817948
## 36 16.658727
## 37 17.123369
## 38 17.136021
## 39 17.143230
## 40 17.987331
## 41 1.148650
## 42 7.502765
## 43 8.025039
## 44 8.320546
## 45 8.376346
## 46 8.377759
## 47 8.378572
## 48 8.463121
Plotting
Plot for an iNEXT object created previously Rarefaction/extrapolation curves for q = 0
Rarefaction/extrapolation curves for sample size for all 3 numbers divided by site
Rarefaction/extrapolation curves for sample size separated by “order” (q)
We can also work with sample coverage
Define at which sample size you want to compare your samples.
Results: for the three hill numbers, order 0, 1,2. For all of them is interpolated or extrapolated as requested and we get the values in qD with lower and upper confidence intervals. These values are now fully comparable
Use max value of the biggest sample size
inext_spiders <- iNEXT(spider, q = 0, datatype = "abundance")
info_spiders <- inext_spiders$DataInfo
max(info_spiders$n)## [1] 252
estINEXTsize <- estimateD(spider, datatype = "abundance", base = "size", level = 252,
conf = 0.95)
estINEXTsize## Assemblage m Method Order.q SC qD qD.LCL qD.UCL
## 1 Girdled 252 Extrapolation 0 0.9490904 31.089085 24.615035 37.563136
## 2 Girdled 252 Extrapolation 1 0.9490904 12.630557 10.254860 15.006254
## 3 Girdled 252 Extrapolation 2 0.9490904 7.948519 6.308714 9.588324
## 4 Logged 252 Observed 0 0.9445706 37.000000 31.577055 42.422945
## 5 Logged 252 Observed 1 0.9445706 14.421002 12.152471 16.689532
## 6 Logged 252 Observed 2 0.9445706 6.761499 5.409680 8.113318
Use max sample coverage
## [1] 0.9446
estINEXTcov <- estimateD(spider, datatype = "abundance", base = "coverage", level = .945,
conf = 0.95)
estINEXTcov## Assemblage m Method Order.q SC qD qD.LCL qD.UCL
## 1 Girdled 232.6025 Extrapolation 0 0.945 30.060357 12.801325 47.319390
## 2 Girdled 232.6025 Extrapolation 1 0.945 12.517775 10.386769 14.648781
## 3 Girdled 232.6025 Extrapolation 2 0.945 7.930211 6.096353 9.764069
## 4 Logged 255.4196 Extrapolation 0 0.945 37.189028 20.102142 54.275913
## 5 Logged 255.4196 Extrapolation 1 0.945 14.441198 11.879085 17.003311
## 6 Logged 255.4196 Extrapolation 2 0.945 6.763578 5.238583 8.288573
Now we can compare Species richness standardized for the same level of sample size for each habitat (sample)
estINEXTcover2 <- estimateD(spider, datatype = "abundance", base = "size", level = 252,
conf = 0.95)
habitat <- factor(c("Girdled", "Logged"))
# plot simple
mysub <- subset(estINEXTcover2, estINEXTcover2$Order.q == 0 )
plot(mysub$qD ~ habitat, border = c("green4", "red"),
xlab = "Habitats", ylab = "Est. Species richness")# plot with confidence interval in ggplot
ggplot(mysub, aes(x = habitat, y = qD)) +
geom_point(colour = c("green4", "red"), size = 5) +
geom_errorbar(aes(ymin = qD.LCL, ymax = qD.UCL),
colour = c("green4", "red"),
width = 0.2) +
xlab("Habitats") +
ylab("Est. Species richness") +
theme_bw() SPATIAL ANALYSIS OF DIVERSITY
BIRD DATA
How does urbanization affect species richness?
Load data
# Bird data
bird_data <- read.csv(here("data","data_berlin","animal_data",
"birds_berlin_exercise_planillo2021.csv") )
head(bird_data)## Accipiter_gentilis Acrocephalus_arundinaceus Acrocephalus_palustris
## 1 0 0 0
## 2 0 0 0
## 3 0 0 0
## 4 0 3 0
## 5 0 0 0
## 6 0 2 5
## Acrocephalus_scirpaceus Aegithalos_caudatus Alauda_arvensis Anthus_trivialis
## 1 0 0 0 0
## 2 0 1 0 0
## 3 0 0 0 0
## 4 4 2 0 0
## 5 0 2 2 11
## 6 5 0 9 1
## Apus_apus Buteo_buteo Carduelis_cannabina Carduelis_carduelis
## 1 15 0 0 1
## 2 21 0 0 1
## 3 4 0 0 0
## 4 0 1 0 2
## 5 0 1 1 1
## 6 0 0 1 1
## Carduelis_chloris Certhia_brachydactyla Certhia_familiaris
## 1 2 0 0
## 2 11 11 0
## 3 7 4 0
## 4 2 3 0
## 5 6 2 0
## 6 2 4 0
## Coccothraustes_coccothraustes Columba_livia Columba_oenas Columba_palumbus
## 1 0 1 0 18
## 2 0 0 0 23
## 3 0 5 0 17
## 4 1 0 5 10
## 5 1 0 0 5
## 6 1 0 0 2
## Corvus_corax Corvus_corone Cuculus_canorus Parus_caeruleus Delichon_urbicum
## 1 0 10 0 9 0
## 2 0 11 0 25 0
## 3 0 2 0 18 0
## 4 0 10 2 19 0
## 5 1 6 1 18 0
## 6 0 1 1 7 0
## Dendrocopos_major Dendrocopos_medius Dryocopus_martius Emberiza_citrinella
## 1 0 0 0 0
## 2 8 0 0 0
## 3 1 0 0 0
## 4 10 7 1 0
## 5 4 0 0 20
## 6 4 0 0 8
## Emberiza_schoeniclus Erithacus_rubecula Falco_tinnunculus Ficedula_hypoleuca
## 1 0 0 0 0
## 2 0 9 0 0
## 3 0 5 0 0
## 4 1 14 0 0
## 5 0 10 0 1
## 6 14 5 0 0
## Fringilla_coelebs Garrulus_glandarius Hippolais_icterina Hirundo_rustica
## 1 0 1 0 0
## 2 4 1 0 0
## 3 2 0 0 0
## 4 30 3 0 10
## 5 18 3 2 0
## 6 9 1 1 0
## Lanius_collurio Locustella_naevia Parus_cristatus Luscinia_megarhynchos
## 1 0 0 0 0
## 2 0 0 0 7
## 3 0 0 0 0
## 4 0 0 0 9
## 5 7 2 0 20
## 6 4 1 0 3
## Miliaria_calandra Motacilla_alba Motacilla_flava Muscicapa_striata
## 1 0 0 0 0
## 2 0 2 0 0
## 3 0 0 0 0
## 4 0 1 0 1
## 5 0 2 0 1
## 6 0 1 3 2
## Oriolus_oriolus Parus_major Passer_domesticus Passer_montanus Parus_ater
## 1 0 10 162 0 0
## 2 0 39 121 5 0
## 3 0 18 56 4 0
## 4 2 19 2 0 1
## 5 2 35 18 4 0
## 6 3 10 0 2 0
## Phoenicurus_ochruros Phoenicurus_phoenicurus Phylloscopus_collybita
## 1 0 0 0
## 2 5 7 4
## 3 4 2 0
## 4 0 0 13
## 5 1 6 13
## 6 2 2 5
## Phylloscopus_sibilatrix Phylloscopus_trochilus Pica_pica Picus_viridis
## 1 0 0 4 0
## 2 0 1 4 1
## 3 0 0 0 0
## 4 1 1 0 1
## 5 0 15 1 1
## 6 0 1 0 0
## Parus_palustris Prunella_modularis Regulus_ignicapilla Saxicola_torquatus
## 1 0 0 0 0
## 2 0 1 2 0
## 3 0 0 0 0
## 4 2 0 1 0
## 5 0 1 0 0
## 6 0 0 0 1
## Serinus_serinus Sitta_europaea Streptopelia_decaocto Sturnus_vulgaris
## 1 0 0 0 2
## 2 5 3 0 13
## 3 0 4 0 11
## 4 0 21 0 36
## 5 0 1 0 6
## 6 0 1 0 6
## Sylvia_atricapilla Sylvia_borin Sylvia_communis Sylvia_curruca
## 1 2 0 0 1
## 2 26 0 0 4
## 3 10 0 0 0
## 4 28 1 1 0
## 5 24 5 4 1
## 6 7 0 0 0
## Troglodytes_troglodytes Turdus_merula Turdus_philomelos site
## 1 0 27 0 BE10
## 2 10 37 0 BE11
## 3 4 30 1 BE12
## 4 14 27 11 BE13
## 5 5 54 11 BE14
## 6 3 13 3 BE15
## 'data.frame': 29 obs. of 71 variables:
## $ Accipiter_gentilis : int 0 0 0 0 0 0 0 0 1 0 ...
## $ Acrocephalus_arundinaceus : int 0 0 0 3 0 2 0 0 0 0 ...
## $ Acrocephalus_palustris : int 0 0 0 0 0 5 0 3 4 0 ...
## $ Acrocephalus_scirpaceus : int 0 0 0 4 0 5 0 0 0 2 ...
## $ Aegithalos_caudatus : int 0 1 0 2 2 0 0 0 2 0 ...
## $ Alauda_arvensis : int 0 0 0 0 2 9 0 21 1 0 ...
## $ Anthus_trivialis : int 0 0 0 0 11 1 0 0 0 0 ...
## $ Apus_apus : int 15 21 4 0 0 0 0 0 3 12 ...
## $ Buteo_buteo : int 0 0 0 1 1 0 0 0 0 0 ...
## $ Carduelis_cannabina : int 0 0 0 0 1 1 0 3 1 0 ...
## $ Carduelis_carduelis : int 1 1 0 2 1 1 1 3 1 4 ...
## $ Carduelis_chloris : int 2 11 7 2 6 2 11 6 8 13 ...
## $ Certhia_brachydactyla : int 0 11 4 3 2 4 2 0 1 3 ...
## $ Certhia_familiaris : int 0 0 0 0 0 0 0 0 0 0 ...
## $ Coccothraustes_coccothraustes: int 0 0 0 1 1 1 0 0 0 1 ...
## $ Columba_livia : int 1 0 5 0 0 0 0 0 1 0 ...
## $ Columba_oenas : int 0 0 0 5 0 0 0 0 0 0 ...
## $ Columba_palumbus : int 18 23 17 10 5 2 16 7 13 15 ...
## $ Corvus_corax : int 0 0 0 0 1 0 0 0 1 0 ...
## $ Corvus_corone : int 10 11 2 10 6 1 4 4 8 10 ...
## $ Cuculus_canorus : int 0 0 0 2 1 1 0 3 1 0 ...
## $ Parus_caeruleus : int 9 25 18 19 18 7 20 4 18 15 ...
## $ Delichon_urbicum : int 0 0 0 0 0 0 0 0 2 0 ...
## $ Dendrocopos_major : int 0 8 1 10 4 4 0 0 3 3 ...
## $ Dendrocopos_medius : int 0 0 0 7 0 0 0 0 0 0 ...
## $ Dryocopus_martius : int 0 0 0 1 0 0 0 0 0 0 ...
## $ Emberiza_citrinella : int 0 0 0 0 20 8 0 14 4 0 ...
## $ Emberiza_schoeniclus : int 0 0 0 1 0 14 0 0 1 0 ...
## $ Erithacus_rubecula : int 0 9 5 14 10 5 0 0 4 4 ...
## $ Falco_tinnunculus : int 0 0 0 0 0 0 0 0 1 0 ...
## $ Ficedula_hypoleuca : int 0 0 0 0 1 0 0 0 0 4 ...
## $ Fringilla_coelebs : int 0 4 2 30 18 9 2 2 0 0 ...
## $ Garrulus_glandarius : int 1 1 0 3 3 1 2 2 0 3 ...
## $ Hippolais_icterina : int 0 0 0 0 2 1 0 5 1 2 ...
## $ Hirundo_rustica : int 0 0 0 10 0 0 0 0 1 0 ...
## $ Lanius_collurio : int 0 0 0 0 7 4 0 2 2 0 ...
## $ Locustella_naevia : int 0 0 0 0 2 1 0 2 2 0 ...
## $ Parus_cristatus : int 0 0 0 0 0 0 0 0 1 0 ...
## $ Luscinia_megarhynchos : int 0 7 0 9 20 3 10 6 18 5 ...
## $ Miliaria_calandra : int 0 0 0 0 0 0 0 8 0 0 ...
## $ Motacilla_alba : int 0 2 0 1 2 1 0 0 2 0 ...
## $ Motacilla_flava : int 0 0 0 0 0 3 0 0 0 0 ...
## $ Muscicapa_striata : int 0 0 0 1 1 2 0 0 1 3 ...
## $ Oriolus_oriolus : int 0 0 0 2 2 3 0 0 0 0 ...
## $ Parus_major : int 10 39 18 19 35 10 46 17 28 18 ...
## $ Passer_domesticus : int 162 121 56 2 18 0 104 0 88 90 ...
## $ Passer_montanus : int 0 5 4 0 4 2 6 4 8 8 ...
## $ Parus_ater : int 0 0 0 1 0 0 0 0 0 0 ...
## $ Phoenicurus_ochruros : int 0 5 4 0 1 2 7 0 4 6 ...
## $ Phoenicurus_phoenicurus : int 0 7 2 0 6 2 11 0 12 9 ...
## $ Phylloscopus_collybita : int 0 4 0 13 13 5 7 4 9 3 ...
## $ Phylloscopus_sibilatrix : int 0 0 0 1 0 0 0 0 0 0 ...
## $ Phylloscopus_trochilus : int 0 1 0 1 15 1 0 14 4 3 ...
## $ Pica_pica : int 4 4 0 0 1 0 4 2 5 7 ...
## $ Picus_viridis : int 0 1 0 1 1 0 0 1 0 1 ...
## $ Parus_palustris : int 0 0 0 2 0 0 0 0 0 0 ...
## $ Prunella_modularis : int 0 1 0 0 1 0 1 0 3 1 ...
## $ Regulus_ignicapilla : int 0 2 0 1 0 0 4 0 1 0 ...
## $ Saxicola_torquatus : int 0 0 0 0 0 1 0 2 0 0 ...
## $ Serinus_serinus : int 0 5 0 0 0 0 4 0 7 4 ...
## $ Sitta_europaea : int 0 3 4 21 1 1 0 0 0 3 ...
## $ Streptopelia_decaocto : int 0 0 0 0 0 0 0 0 0 6 ...
## $ Sturnus_vulgaris : int 2 13 11 36 6 6 19 10 17 34 ...
## $ Sylvia_atricapilla : int 2 26 10 28 24 7 14 12 15 7 ...
## $ Sylvia_borin : int 0 0 0 1 5 0 0 3 3 3 ...
## $ Sylvia_communis : int 0 0 0 1 4 0 0 23 0 1 ...
## $ Sylvia_curruca : int 1 4 0 0 1 0 7 3 4 4 ...
## $ Troglodytes_troglodytes : int 0 10 4 14 5 3 6 0 5 2 ...
## $ Turdus_merula : int 27 37 30 27 54 13 39 14 49 32 ...
## $ Turdus_philomelos : int 0 0 1 11 11 3 1 5 1 4 ...
## $ site : chr "BE10" "BE11" "BE12" "BE13" ...
## Accipiter_gentilis Acrocephalus_arundinaceus Acrocephalus_palustris
## Min. :0.0000 Min. :0.0000 Min. :0.0000
## 1st Qu.:0.0000 1st Qu.:0.0000 1st Qu.:0.0000
## Median :0.0000 Median :0.0000 Median :0.0000
## Mean :0.1379 Mean :0.2414 Mean :0.4138
## 3rd Qu.:0.0000 3rd Qu.:0.0000 3rd Qu.:0.0000
## Max. :2.0000 Max. :3.0000 Max. :5.0000
## Acrocephalus_scirpaceus Aegithalos_caudatus Alauda_arvensis Anthus_trivialis
## Min. :0.0000 Min. :0.0000 Min. : 0.000 Min. : 0.0000
## 1st Qu.:0.0000 1st Qu.:0.0000 1st Qu.: 0.000 1st Qu.: 0.0000
## Median :0.0000 Median :0.0000 Median : 0.000 Median : 0.0000
## Mean :0.5517 Mean :0.7241 Mean : 1.172 Mean : 0.4483
## 3rd Qu.:0.0000 3rd Qu.:1.0000 3rd Qu.: 0.000 3rd Qu.: 0.0000
## Max. :5.0000 Max. :4.0000 Max. :21.000 Max. :11.0000
## Apus_apus Buteo_buteo Carduelis_cannabina Carduelis_carduelis
## Min. : 0.000 Min. :0.0000 Min. :0.0000 Min. :0.000
## 1st Qu.: 0.000 1st Qu.:0.0000 1st Qu.:0.0000 1st Qu.:0.000
## Median : 0.000 Median :0.0000 Median :0.0000 Median :1.000
## Mean : 5.069 Mean :0.1034 Mean :0.3103 Mean :1.517
## 3rd Qu.: 5.000 3rd Qu.:0.0000 3rd Qu.:0.0000 3rd Qu.:2.000
## Max. :37.000 Max. :1.0000 Max. :3.0000 Max. :6.000
## Carduelis_chloris Certhia_brachydactyla Certhia_familiaris
## Min. : 0.000 Min. : 0.000 Min. :0.0000
## 1st Qu.: 2.000 1st Qu.: 1.000 1st Qu.:0.0000
## Median : 6.000 Median : 3.000 Median :0.0000
## Mean : 6.276 Mean : 4.483 Mean :0.5172
## 3rd Qu.: 9.000 3rd Qu.: 9.000 3rd Qu.:0.0000
## Max. :19.000 Max. :12.000 Max. :6.0000
## Coccothraustes_coccothraustes Columba_livia Columba_oenas
## Min. : 0.000 Min. : 0.000 Min. :0.0000
## 1st Qu.: 0.000 1st Qu.: 0.000 1st Qu.:0.0000
## Median : 0.000 Median : 0.000 Median :0.0000
## Mean : 1.621 Mean : 2.586 Mean :0.4138
## 3rd Qu.: 1.000 3rd Qu.: 4.000 3rd Qu.:0.0000
## Max. :15.000 Max. :15.000 Max. :5.0000
## Columba_palumbus Corvus_corax Corvus_corone Cuculus_canorus
## Min. : 2.00 Min. :0.0000 Min. : 0.000 Min. :0.0000
## 1st Qu.:10.00 1st Qu.:0.0000 1st Qu.: 2.000 1st Qu.:0.0000
## Median :13.00 Median :0.0000 Median : 6.000 Median :0.0000
## Mean :13.07 Mean :0.1379 Mean : 6.586 Mean :0.3448
## 3rd Qu.:17.00 3rd Qu.:0.0000 3rd Qu.:10.000 3rd Qu.:0.0000
## Max. :32.00 Max. :1.0000 Max. :22.000 Max. :3.0000
## Parus_caeruleus Delichon_urbicum Dendrocopos_major Dendrocopos_medius
## Min. : 4 Min. :0.0000 Min. : 0.000 Min. :0.0000
## 1st Qu.:11 1st Qu.:0.0000 1st Qu.: 1.000 1st Qu.:0.0000
## Median :18 Median :0.0000 Median : 2.000 Median :0.0000
## Mean :19 Mean :0.2069 Mean : 5.517 Mean :0.3103
## 3rd Qu.:23 3rd Qu.:0.0000 3rd Qu.: 8.000 3rd Qu.:0.0000
## Max. :44 Max. :2.0000 Max. :36.000 Max. :7.0000
## Dryocopus_martius Emberiza_citrinella Emberiza_schoeniclus Erithacus_rubecula
## Min. :0.0000 Min. : 0.000 Min. : 0.0000 Min. : 0.000
## 1st Qu.:0.0000 1st Qu.: 0.000 1st Qu.: 0.0000 1st Qu.: 2.000
## Median :0.0000 Median : 0.000 Median : 0.0000 Median : 4.000
## Mean :0.2069 Mean : 1.862 Mean : 0.5517 Mean : 6.931
## 3rd Qu.:0.0000 3rd Qu.: 0.000 3rd Qu.: 0.0000 3rd Qu.:10.000
## Max. :2.0000 Max. :20.000 Max. :14.0000 Max. :35.000
## Falco_tinnunculus Ficedula_hypoleuca Fringilla_coelebs Garrulus_glandarius
## Min. :0.0000 Min. :0.000 Min. : 0.00 Min. :0.000
## 1st Qu.:0.0000 1st Qu.:0.000 1st Qu.: 0.00 1st Qu.:1.000
## Median :0.0000 Median :0.000 Median : 3.00 Median :1.000
## Mean :0.1724 Mean :1.345 Mean :11.86 Mean :1.793
## 3rd Qu.:0.0000 3rd Qu.:1.000 3rd Qu.:18.00 3rd Qu.:3.000
## Max. :1.0000 Max. :9.000 Max. :71.00 Max. :5.000
## Hippolais_icterina Hirundo_rustica Lanius_collurio Locustella_naevia
## Min. :0.0000 Min. : 0.0000 Min. :0.0000 Min. :0.0000
## 1st Qu.:0.0000 1st Qu.: 0.0000 1st Qu.:0.0000 1st Qu.:0.0000
## Median :0.0000 Median : 0.0000 Median :0.0000 Median :0.0000
## Mean :0.3793 Mean : 0.6552 Mean :0.5172 Mean :0.2414
## 3rd Qu.:0.0000 3rd Qu.: 0.0000 3rd Qu.:0.0000 3rd Qu.:0.0000
## Max. :5.0000 Max. :10.0000 Max. :7.0000 Max. :2.0000
## Parus_cristatus Luscinia_megarhynchos Miliaria_calandra Motacilla_alba
## Min. :0.0000 Min. : 0.000 Min. :0.0000 Min. :0.0000
## 1st Qu.:0.0000 1st Qu.: 0.000 1st Qu.:0.0000 1st Qu.:0.0000
## Median :0.0000 Median : 2.000 Median :0.0000 Median :0.0000
## Mean :0.8621 Mean : 4.069 Mean :0.2759 Mean :0.4138
## 3rd Qu.:0.0000 3rd Qu.: 7.000 3rd Qu.:0.0000 3rd Qu.:1.0000
## Max. :7.0000 Max. :20.000 Max. :8.0000 Max. :2.0000
## Motacilla_flava Muscicapa_striata Oriolus_oriolus Parus_major
## Min. :0.0000 Min. :0.0000 Min. :0.0000 Min. : 6.00
## 1st Qu.:0.0000 1st Qu.:0.0000 1st Qu.:0.0000 1st Qu.:17.00
## Median :0.0000 Median :0.0000 Median :0.0000 Median :22.00
## Mean :0.1034 Mean :0.6207 Mean :0.2759 Mean :23.86
## 3rd Qu.:0.0000 3rd Qu.:1.0000 3rd Qu.:0.0000 3rd Qu.:29.00
## Max. :3.0000 Max. :4.0000 Max. :3.0000 Max. :52.00
## Passer_domesticus Passer_montanus Parus_ater Phoenicurus_ochruros
## Min. : 0.00 Min. : 0.000 Min. :0.0000 Min. : 0
## 1st Qu.: 14.00 1st Qu.: 0.000 1st Qu.:0.0000 1st Qu.: 1
## Median : 65.00 Median : 3.000 Median :0.0000 Median : 2
## Mean : 68.38 Mean : 3.828 Mean :0.5517 Mean : 4
## 3rd Qu.: 90.00 3rd Qu.: 6.000 3rd Qu.:0.0000 3rd Qu.: 5
## Max. :279.00 Max. :15.000 Max. :5.0000 Max. :21
## Phoenicurus_phoenicurus Phylloscopus_collybita Phylloscopus_sibilatrix
## Min. : 0.000 Min. : 0.000 Min. : 0.000
## 1st Qu.: 2.000 1st Qu.: 0.000 1st Qu.: 0.000
## Median : 5.000 Median : 2.000 Median : 0.000
## Mean : 4.966 Mean : 3.517 Mean : 2.069
## 3rd Qu.: 8.000 3rd Qu.: 5.000 3rd Qu.: 1.000
## Max. :13.000 Max. :14.000 Max. :24.000
## Phylloscopus_trochilus Pica_pica Picus_viridis Parus_palustris
## Min. : 0.000 Min. : 0.000 Min. :0.0000 Min. : 0.0000
## 1st Qu.: 0.000 1st Qu.: 0.000 1st Qu.:0.0000 1st Qu.: 0.0000
## Median : 0.000 Median : 2.000 Median :0.0000 Median : 0.0000
## Mean : 1.483 Mean : 3.138 Mean :0.4483 Mean : 0.5517
## 3rd Qu.: 1.000 3rd Qu.: 5.000 3rd Qu.:1.0000 3rd Qu.: 0.0000
## Max. :15.000 Max. :10.000 Max. :1.0000 Max. :10.0000
## Prunella_modularis Regulus_ignicapilla Saxicola_torquatus Serinus_serinus
## Min. :0.0000 Min. : 0.000 Min. :0.0000 Min. : 0.000
## 1st Qu.:0.0000 1st Qu.: 0.000 1st Qu.:0.0000 1st Qu.: 0.000
## Median :0.0000 Median : 0.000 Median :0.0000 Median : 1.000
## Mean :0.5517 Mean : 1.552 Mean :0.1034 Mean : 2.103
## 3rd Qu.:1.0000 3rd Qu.: 2.000 3rd Qu.:0.0000 3rd Qu.: 4.000
## Max. :5.0000 Max. :12.000 Max. :2.0000 Max. :15.000
## Sitta_europaea Streptopelia_decaocto Sturnus_vulgaris Sylvia_atricapilla
## Min. : 0.000 Min. :0.0000 Min. : 2.00 Min. : 0.00
## 1st Qu.: 0.000 1st Qu.:0.0000 1st Qu.: 5.00 1st Qu.: 7.00
## Median : 1.000 Median :0.0000 Median : 8.00 Median :10.00
## Mean : 4.759 Mean :0.2069 Mean :10.52 Mean :10.83
## 3rd Qu.: 4.000 3rd Qu.:0.0000 3rd Qu.:13.00 3rd Qu.:13.00
## Max. :29.000 Max. :6.0000 Max. :36.00 Max. :28.00
## Sylvia_borin Sylvia_communis Sylvia_curruca Troglodytes_troglodytes
## Min. :0.0000 Min. : 0.000 Min. :0.000 Min. : 0.000
## 1st Qu.:0.0000 1st Qu.: 0.000 1st Qu.:0.000 1st Qu.: 0.000
## Median :0.0000 Median : 0.000 Median :2.000 Median : 3.000
## Mean :0.6207 Mean : 1.069 Mean :2.207 Mean : 6.034
## 3rd Qu.:0.0000 3rd Qu.: 0.000 3rd Qu.:3.000 3rd Qu.: 9.000
## Max. :5.0000 Max. :23.000 Max. :7.000 Max. :36.000
## Turdus_merula Turdus_philomelos site
## Min. :11.00 Min. : 0.000 Length:29
## 1st Qu.:18.00 1st Qu.: 0.000 Class :character
## Median :27.00 Median : 1.000 Mode :character
## Mean :29.34 Mean : 3.345
## 3rd Qu.:39.00 3rd Qu.: 5.000
## Max. :54.00 Max. :14.000
## Accipiter_gentilis Acrocephalus_arundinaceus Acrocephalus_palustris
## 1 0 0 0
## 2 0 0 0
## 3 0 0 0
## 4 0 3 0
## 5 0 0 0
## 6 0 2 5
## 7 0 0 0
## 8 0 0 3
## 9 1 0 4
## 10 0 0 0
## 11 2 0 0
## 12 0 0 0
## 13 1 0 0
## 14 0 0 0
## 15 0 0 0
## 16 0 0 0
## 17 0 0 0
## 18 0 0 0
## 19 0 0 0
## 20 0 0 0
## 21 0 0 0
## 22 0 2 0
## 23 0 0 0
## 24 0 0 0
## 25 0 0 0
## 26 0 0 0
## 27 0 0 0
## 28 0 0 0
## 29 0 0 0
## Acrocephalus_scirpaceus Aegithalos_caudatus Alauda_arvensis Anthus_trivialis
## 1 0 0 0 0
## 2 0 1 0 0
## 3 0 0 0 0
## 4 4 2 0 0
## 5 0 2 2 11
## 6 5 0 9 1
## 7 0 0 0 0
## 8 0 0 21 0
## 9 0 2 1 0
## 10 2 0 0 0
## 11 0 1 0 0
## 12 0 0 0 0
## 13 1 2 0 0
## 14 0 1 0 0
## 15 0 0 0 0
## 16 0 0 0 0
## 17 0 3 0 0
## 18 0 1 0 0
## 19 0 1 0 0
## 20 1 0 0 0
## 21 0 0 0 0
## 22 0 0 0 1
## 23 0 1 1 0
## 24 0 4 0 0
## 25 0 0 0 0
## 26 0 0 0 0
## 27 0 0 0 0
## 28 0 0 0 0
## 29 3 0 0 0
## Apus_apus Buteo_buteo Carduelis_cannabina Carduelis_carduelis
## 1 15 0 0 1
## 2 21 0 0 1
## 3 4 0 0 0
## 4 0 1 0 2
## 5 0 1 1 1
## 6 0 0 1 1
## 7 0 0 0 1
## 8 0 0 3 3
## 9 3 0 1 1
## 10 12 0 0 4
## 11 0 0 0 0
## 12 4 0 0 0
## 13 3 0 0 2
## 14 5 0 0 3
## 15 5 0 0 3
## 16 0 0 0 6
## 17 12 0 0 1
## 18 0 0 0 0
## 19 19 0 3 0
## 20 0 1 0 2
## 21 0 0 0 1
## 22 0 0 0 1
## 23 0 0 0 1
## 24 0 0 0 0
## 25 5 0 0 0
## 26 2 0 0 1
## 27 37 0 0 2
## 28 0 0 0 6
## 29 0 0 0 0
## Carduelis_chloris Certhia_brachydactyla Certhia_familiaris
## 1 2 0 0
## 2 11 11 0
## 3 7 4 0
## 4 2 3 0
## 5 6 2 0
## 6 2 4 0
## 7 11 2 0
## 8 6 0 0
## 9 8 1 0
## 10 13 3 0
## 11 0 11 6
## 12 1 1 0
## 13 7 11 0
## 14 10 5 0
## 15 3 3 0
## 16 5 5 0
## 17 19 0 0
## 18 6 10 0
## 19 11 4 0
## 20 0 9 2
## 21 9 0 0
## 22 5 9 1
## 23 9 1 0
## 24 6 10 0
## 25 4 0 0
## 26 2 3 0
## 27 8 4 0
## 28 9 2 0
## 29 0 12 6
## Coccothraustes_coccothraustes Columba_livia Columba_oenas Columba_palumbus
## 1 0 1 0 18
## 2 0 0 0 23
## 3 0 5 0 17
## 4 1 0 5 10
## 5 1 0 0 5
## 6 1 0 0 2
## 7 0 0 0 16
## 8 0 0 0 7
## 9 0 1 0 13
## 10 1 0 0 15
## 11 15 0 2 12
## 12 0 4 0 6
## 13 8 0 0 15
## 14 0 15 0 18
## 15 0 13 0 18
## 16 0 0 0 11
## 17 0 0 0 10
## 18 0 2 0 13
## 19 2 1 0 17
## 20 3 0 3 6
## 21 0 3 0 15
## 22 3 2 0 5
## 23 0 0 0 18
## 24 5 0 1 19
## 25 0 7 0 11
## 26 0 9 0 10
## 27 0 8 0 32
## 28 0 4 0 12
## 29 7 0 1 5
## Corvus_corax Corvus_corone Cuculus_canorus Parus_caeruleus Delichon_urbicum
## 1 0 10 0 9 0
## 2 0 11 0 25 0
## 3 0 2 0 18 0
## 4 0 10 2 19 0
## 5 1 6 1 18 0
## 6 0 1 1 7 0
## 7 0 4 0 20 0
## 8 0 4 3 4 0
## 9 1 8 1 18 2
## 10 0 10 0 15 0
## 11 1 2 1 33 0
## 12 0 3 0 11 0
## 13 0 4 0 44 0
## 14 0 4 0 14 0
## 15 0 6 0 12 0
## 16 0 11 0 15 0
## 17 0 5 0 18 0
## 18 0 2 0 16 0
## 19 0 14 0 26 0
## 20 0 0 0 31 0
## 21 0 12 0 11 0
## 22 1 1 0 23 0
## 23 0 2 0 11 0
## 24 0 8 0 44 0
## 25 0 7 0 5 1
## 26 0 8 0 22 1
## 27 0 22 0 23 2
## 28 0 13 0 10 0
## 29 0 1 1 29 0
## Dendrocopos_major Dendrocopos_medius Dryocopus_martius Emberiza_citrinella
## 1 0 0 0 0
## 2 8 0 0 0
## 3 1 0 0 0
## 4 10 7 1 0
## 5 4 0 0 20
## 6 4 0 0 8
## 7 0 0 0 0
## 8 0 0 0 14
## 9 3 0 0 4
## 10 3 0 0 0
## 11 36 1 2 0
## 12 1 0 0 0
## 13 8 0 0 0
## 14 0 0 0 0
## 15 0 0 0 0
## 16 2 0 0 0
## 17 2 0 0 0
## 18 6 0 0 0
## 19 3 0 0 1
## 20 11 0 1 0
## 21 2 0 0 0
## 22 9 0 0 7
## 23 2 0 0 0
## 24 22 0 1 0
## 25 1 0 0 0
## 26 1 0 0 0
## 27 1 0 0 0
## 28 1 0 0 0
## 29 19 1 1 0
## Emberiza_schoeniclus Erithacus_rubecula Falco_tinnunculus Ficedula_hypoleuca
## 1 0 0 0 0
## 2 0 9 0 0
## 3 0 5 0 0
## 4 1 14 0 0
## 5 0 10 0 1
## 6 14 5 0 0
## 7 0 0 0 0
## 8 0 0 0 0
## 9 1 4 1 0
## 10 0 4 0 4
## 11 0 35 0 6
## 12 0 0 0 0
## 13 0 13 0 0
## 14 0 2 0 0
## 15 0 5 0 0
## 16 0 2 0 0
## 17 0 1 0 0
## 18 0 5 1 0
## 19 0 3 1 1
## 20 0 25 0 8
## 21 0 2 0 0
## 22 0 10 0 9
## 23 0 3 0 0
## 24 0 17 0 7
## 25 0 0 0 0
## 26 0 3 1 0
## 27 0 2 0 0
## 28 0 0 1 0
## 29 0 22 0 3
## Fringilla_coelebs Garrulus_glandarius Hippolais_icterina Hirundo_rustica
## 1 0 1 0 0
## 2 4 1 0 0
## 3 2 0 0 0
## 4 30 3 0 10
## 5 18 3 2 0
## 6 9 1 1 0
## 7 2 2 0 0
## 8 2 2 5 0
## 9 0 0 1 1
## 10 0 3 2 0
## 11 71 5 0 0
## 12 0 0 0 0
## 13 24 1 0 0
## 14 0 1 0 0
## 15 1 0 0 0
## 16 3 0 0 0
## 17 5 1 0 1
## 18 8 0 0 0
## 19 1 2 0 0
## 20 46 4 0 0
## 21 3 5 0 0
## 22 21 2 0 7
## 23 0 1 0 0
## 24 36 5 0 0
## 25 0 2 0 0
## 26 3 0 0 0
## 27 0 2 0 0
## 28 0 1 0 0
## 29 55 4 0 0
## Lanius_collurio Locustella_naevia Parus_cristatus Luscinia_megarhynchos
## 1 0 0 0 0
## 2 0 0 0 7
## 3 0 0 0 0
## 4 0 0 0 9
## 5 7 2 0 20
## 6 4 1 0 3
## 7 0 0 0 10
## 8 2 2 0 6
## 9 2 2 1 18
## 10 0 0 0 5
## 11 0 0 5 0
## 12 0 0 0 0
## 13 0 0 0 8
## 14 0 0 0 2
## 15 0 0 0 0
## 16 0 0 0 0
## 17 0 0 0 2
## 18 0 0 0 2
## 19 0 0 2 7
## 20 0 0 4 0
## 21 0 0 0 0
## 22 0 0 7 3
## 23 0 0 0 10
## 24 0 0 0 0
## 25 0 0 0 1
## 26 0 0 0 0
## 27 0 0 0 1
## 28 0 0 0 3
## 29 0 0 6 1
## Miliaria_calandra Motacilla_alba Motacilla_flava Muscicapa_striata
## 1 0 0 0 0
## 2 0 2 0 0
## 3 0 0 0 0
## 4 0 1 0 1
## 5 0 2 0 1
## 6 0 1 3 2
## 7 0 0 0 0
## 8 8 0 0 0
## 9 0 2 0 1
## 10 0 0 0 3
## 11 0 0 0 2
## 12 0 0 0 0
## 13 0 0 0 4
## 14 0 0 0 0
## 15 0 1 0 0
## 16 0 0 0 0
## 17 0 0 0 0
## 18 0 0 0 2
## 19 0 1 0 0
## 20 0 1 0 1
## 21 0 0 0 0
## 22 0 0 0 0
## 23 0 0 0 0
## 24 0 0 0 0
## 25 0 0 0 0
## 26 0 0 0 0
## 27 0 1 0 0
## 28 0 0 0 0
## 29 0 0 0 1
## Oriolus_oriolus Parus_major Passer_domesticus Passer_montanus Parus_ater
## 1 0 10 162 0 0
## 2 0 39 121 5 0
## 3 0 18 56 4 0
## 4 2 19 2 0 1
## 5 2 35 18 4 0
## 6 3 10 0 2 0
## 7 0 46 104 6 0
## 8 0 17 0 4 0
## 9 0 28 88 8 0
## 10 0 18 90 8 0
## 11 0 29 0 0 3
## 12 0 9 71 1 0
## 13 0 29 5 1 0
## 14 0 19 62 0 0
## 15 0 18 71 0 0
## 16 0 20 174 0 0
## 17 0 25 65 5 0
## 18 0 39 115 0 0
## 19 0 36 65 12 0
## 20 0 28 0 0 0
## 21 0 13 56 14 0
## 22 0 29 22 5 4
## 23 0 22 78 15 0
## 24 1 52 14 7 3
## 25 0 6 116 0 0
## 26 0 15 76 0 0
## 27 0 22 279 3 0
## 28 0 14 73 7 0
## 29 0 27 0 0 5
## Phoenicurus_ochruros Phoenicurus_phoenicurus Phylloscopus_collybita
## 1 0 0 0
## 2 5 7 4
## 3 4 2 0
## 4 0 0 13
## 5 1 6 13
## 6 2 2 5
## 7 7 11 7
## 8 0 0 4
## 9 4 12 9
## 10 6 9 3
## 11 0 0 1
## 12 1 3 0
## 13 3 13 14
## 14 19 5 0
## 15 21 3 0
## 16 4 3 0
## 17 2 9 5
## 18 2 5 1
## 19 3 9 1
## 20 0 1 2
## 21 10 5 0
## 22 1 8 11
## 23 1 9 1
## 24 2 7 3
## 25 5 0 0
## 26 2 5 0
## 27 5 2 0
## 28 6 6 2
## 29 0 2 3
## Phylloscopus_sibilatrix Phylloscopus_trochilus Pica_pica Picus_viridis
## 1 0 0 4 0
## 2 0 1 4 1
## 3 0 0 0 0
## 4 1 1 0 1
## 5 0 15 1 1
## 6 0 1 0 0
## 7 0 0 4 0
## 8 0 14 2 1
## 9 0 4 5 0
## 10 0 3 7 1
## 11 24 0 0 1
## 12 0 0 4 0
## 13 6 0 0 1
## 14 0 0 3 0
## 15 0 0 3 0
## 16 0 0 2 0
## 17 2 0 2 1
## 18 0 0 0 1
## 19 1 2 9 1
## 20 4 0 0 0
## 21 0 0 9 0
## 22 8 0 2 0
## 23 0 0 2 1
## 24 0 0 0 1
## 25 0 0 10 0
## 26 0 0 5 1
## 27 1 1 7 0
## 28 0 0 6 0
## 29 13 1 0 0
## Parus_palustris Prunella_modularis Regulus_ignicapilla Saxicola_torquatus
## 1 0 0 0 0
## 2 0 1 2 0
## 3 0 0 0 0
## 4 2 0 1 0
## 5 0 1 0 0
## 6 0 0 0 1
## 7 0 1 4 0
## 8 0 0 0 2
## 9 0 3 1 0
## 10 0 1 0 0
## 11 0 0 7 0
## 12 0 0 0 0
## 13 0 5 3 0
## 14 0 0 0 0
## 15 0 0 0 0
## 16 0 0 0 0
## 17 0 1 2 0
## 18 0 0 0 0
## 19 0 1 0 0
## 20 3 0 6 0
## 21 0 0 0 0
## 22 0 1 2 0
## 23 0 1 0 0
## 24 1 0 12 0
## 25 0 0 0 0
## 26 0 0 0 0
## 27 0 0 0 0
## 28 0 0 0 0
## 29 10 0 5 0
## Serinus_serinus Sitta_europaea Streptopelia_decaocto Sturnus_vulgaris
## 1 0 0 0 2
## 2 5 3 0 13
## 3 0 4 0 11
## 4 0 21 0 36
## 5 0 1 0 6
## 6 0 1 0 6
## 7 4 0 0 19
## 8 0 0 0 10
## 9 7 0 0 17
## 10 4 3 6 34
## 11 0 29 0 2
## 12 1 1 0 5
## 13 15 6 0 19
## 14 3 0 0 3
## 15 1 0 0 4
## 16 0 3 0 9
## 17 2 0 0 7
## 18 1 4 0 19
## 19 5 0 0 12
## 20 0 18 0 3
## 21 0 1 0 18
## 22 4 5 0 7
## 23 0 0 0 2
## 24 0 23 0 8
## 25 2 0 0 5
## 26 3 0 0 8
## 27 0 1 0 11
## 28 4 0 0 7
## 29 0 14 0 2
## Sylvia_atricapilla Sylvia_borin Sylvia_communis Sylvia_curruca
## 1 2 0 0 1
## 2 26 0 0 4
## 3 10 0 0 0
## 4 28 1 1 0
## 5 24 5 4 1
## 6 7 0 0 0
## 7 14 0 0 7
## 8 12 3 23 3
## 9 15 3 0 4
## 10 7 3 1 4
## 11 9 0 0 0
## 12 6 0 0 2
## 13 20 0 0 3
## 14 7 0 0 3
## 15 4 0 0 1
## 16 8 0 0 1
## 17 10 0 0 0
## 18 10 0 0 3
## 19 3 0 2 4
## 20 11 0 0 0
## 21 6 2 0 5
## 22 12 0 0 3
## 23 13 1 0 7
## 24 13 0 0 3
## 25 0 0 0 0
## 26 8 0 0 1
## 27 10 0 0 1
## 28 5 0 0 3
## 29 14 0 0 0
## Troglodytes_troglodytes Turdus_merula Turdus_philomelos site
## 1 0 27 0 BE10
## 2 10 37 0 BE11
## 3 4 30 1 BE12
## 4 14 27 11 BE13
## 5 5 54 11 BE14
## 6 3 13 3 BE15
## 7 6 39 1 BE16
## 8 0 14 5 BE17
## 9 5 49 1 BE18
## 10 2 32 4 BE19
## 11 36 30 14 BE2
## 12 0 14 0 BE20
## 13 15 54 6 BE21
## 14 1 27 0 BE22
## 15 0 26 0 BE23
## 16 1 27 0 BE24
## 17 0 18 1 BE25
## 18 5 26 0 BE26
## 19 1 24 1 BE27
## 20 9 14 9 BE28
## 21 0 41 0 BE29
## 22 9 25 7 BE3
## 23 6 46 1 BE30
## 24 26 40 14 BE4
## 25 0 11 0 BE5
## 26 1 16 1 BE6
## 27 0 51 1 BE7
## 28 2 22 0 BE8
## 29 14 17 5 BE9
Get the Hill Number for species richness
iNext package uses the data in a specific format: Matrix with species in rows, sites in columns.
# get the data in the proper format
bird_data <- column_to_rownames(bird_data, "site")
bird_data <- t(bird_data)
# run inext function
birds_inext <- iNEXT(bird_data, q = 0, datatype = "abundance") # q = 0 -> species richness
#Show a summary of the data
birds_inext$DataInfo## Assemblage n S.obs SC f1 f2 f3 f4 f5 f6 f7 f8 f9 f10
## 1 BE10 265 15 0.9850 4 3 0 1 0 0 0 0 1 2
## 2 BE11 423 32 0.9858 6 2 1 4 3 0 2 1 1 1
## 3 BE12 209 21 0.9906 2 3 0 6 2 0 1 0 0 1
## 4 BE13 333 42 0.9611 13 7 3 1 1 0 1 0 1 4
## 5 BE14 356 46 0.9608 14 7 1 3 3 4 1 0 0 1
## 6 BE15 157 41 0.9178 13 7 5 3 4 1 2 1 2 1
## 7 BE16 348 25 0.9914 3 3 0 4 0 2 3 0 0 1
## 8 BE17 209 31 0.9955 1 6 6 4 2 2 1 1 0 1
## 9 BE18 370 47 0.9568 16 5 4 6 2 0 1 3 1 0
## 10 BE19 345 37 0.9885 4 3 8 6 1 2 2 1 1 1
## 11 BE2 434 32 0.9862 6 6 1 0 2 2 1 0 1 0
## 12 BE20 149 20 0.9531 7 1 2 3 1 2 0 0 1 0
## 13 BE21 374 35 0.9867 5 2 4 2 2 3 1 3 0 0
## 14 BE22 232 23 0.9871 3 2 5 1 3 0 1 0 0 1
## 15 BE23 222 21 0.9820 4 0 5 2 2 1 0 0 0 0
## 16 BE24 312 20 0.9937 2 3 3 1 2 1 0 1 1 0
## 17 BE25 237 29 0.9707 7 7 1 0 4 0 1 0 1 2
## 18 BE26 305 26 0.9837 5 5 1 1 3 2 0 1 0 2
## 19 BE27 312 39 0.9584 13 5 5 2 1 0 1 0 2 0
## 20 BE28 267 30 0.9776 6 3 4 3 0 2 0 1 3 0
## 21 BE29 243 22 0.9919 2 3 2 0 3 1 0 0 2 1
## 22 BE3 294 40 0.9763 7 5 3 2 4 0 5 2 4 1
## 23 BE30 266 28 0.9588 11 4 1 0 0 1 1 0 2 1
## 24 BE4 415 32 0.9880 5 1 3 1 2 1 3 2 0 1
## 25 BE5 199 17 0.9850 3 2 0 1 4 1 2 0 0 1
## 26 BE6 208 26 0.9617 8 3 4 0 2 0 0 3 1 1
## 27 BE7 540 28 0.9852 8 5 1 1 1 0 1 2 0 1
## 28 BE8 219 24 0.9864 3 3 2 2 1 4 2 0 1 1
## 29 BE9 310 33 0.9742 8 2 3 1 4 2 1 0 0 1
#Show a summary of the data with diversity estimates in rarefied and extrapolated samples
head(birds_inext$iNextEst)## $size_based
## Assemblage m Method Order.q qD qD.LCL qD.UCL
## 1 BE10 1 Rarefaction 0 1.000000 1.000000 1.000000
## 2 BE10 15 Rarefaction 0 5.138521 4.651054 5.625987
## 3 BE10 30 Rarefaction 0 7.261204 6.528608 7.993801
## 4 BE10 44 Rarefaction 0 8.493792 7.557450 9.430135
## 5 BE10 59 Rarefaction 0 9.433917 8.289708 10.578125
## 6 BE10 74 Rarefaction 0 10.164352 8.828681 11.500024
## 7 BE10 88 Rarefaction 0 10.736162 9.239239 12.233086
## 8 BE10 103 Rarefaction 0 11.274111 9.622603 12.925619
## 9 BE10 117 Rarefaction 0 11.727559 9.946919 13.508200
## 10 BE10 132 Rarefaction 0 12.174118 10.268977 14.079260
## 11 BE10 147 Rarefaction 0 12.587566 10.569901 14.605232
## 12 BE10 161 Rarefaction 0 12.947639 10.833833 15.061445
## 13 BE10 176 Rarefaction 0 13.308532 11.099381 15.517684
## 14 BE10 190 Rarefaction 0 13.623868 11.331334 15.916402
## 15 BE10 205 Rarefaction 0 13.940110 11.562677 16.317542
## 16 BE10 220 Rarefaction 0 14.235107 11.775861 16.694354
## 17 BE10 234 Rarefaction 0 14.492039 11.957953 17.026125
## 18 BE10 249 Rarefaction 0 14.748190 12.134304 17.362076
## 19 BE10 264 Rarefaction 0 14.984906 12.290449 17.679362
## 20 BE10 265 Observed 0 15.000000 12.300118 17.699882
## 21 BE10 266 Extrapolation 0 15.015009 12.309692 17.720326
## 22 BE10 279 Extrapolation 0 15.202582 12.425726 17.979438
## 23 BE10 293 Extrapolation 0 15.389716 12.533680 18.245752
## 24 BE10 307 Extrapolation 0 15.562580 12.624933 18.500226
## 25 BE10 321 Extrapolation 0 15.722262 12.700580 18.743944
## 26 BE10 335 Extrapolation 0 15.869767 12.761779 18.977755
## 27 BE10 349 Extrapolation 0 16.006024 12.809702 19.202346
## 28 BE10 363 Extrapolation 0 16.131891 12.845498 19.418283
## 29 BE10 377 Extrapolation 0 16.248159 12.870268 19.626051
## 30 BE10 391 Extrapolation 0 16.355562 12.885050 19.826073
## 31 BE10 404 Extrapolation 0 16.447945 12.890683 20.005207
## 32 BE10 418 Extrapolation 0 16.540113 12.888883 20.191343
## 33 BE10 432 Extrapolation 0 16.625252 12.879734 20.370770
## 34 BE10 446 Extrapolation 0 16.703899 12.864002 20.543796
## 35 BE10 460 Extrapolation 0 16.776548 12.842383 20.710714
## 36 BE10 474 Extrapolation 0 16.843658 12.815513 20.871802
## 37 BE10 488 Extrapolation 0 16.905650 12.783972 21.027327
## 38 BE10 502 Extrapolation 0 16.962915 12.748286 21.177543
## 39 BE10 516 Extrapolation 0 17.015813 12.708932 21.322693
## 40 BE10 530 Extrapolation 0 17.064677 12.666345 21.463008
## 41 BE11 1 Rarefaction 0 1.000000 1.000000 1.000000
## 42 BE11 24 Rarefaction 0 12.039825 11.383290 12.696360
## 43 BE11 47 Rarefaction 0 17.059840 16.016249 18.103431
## 44 BE11 71 Rarefaction 0 20.301219 18.958837 21.643600
## 45 BE11 94 Rarefaction 0 22.469926 20.917325 24.022528
## 46 BE11 117 Rarefaction 0 24.094760 22.381502 25.808019
## 47 BE11 141 Rarefaction 0 25.411433 23.562553 27.260313
## 48 BE11 164 Rarefaction 0 26.423742 24.461566 28.385918
## 49 BE11 188 Rarefaction 0 27.295731 25.223066 29.368396
## 50 BE11 211 Rarefaction 0 28.002310 25.825556 30.179064
## 51 BE11 234 Rarefaction 0 28.614707 26.332395 30.897019
## 52 BE11 258 Rarefaction 0 29.177696 26.781762 31.573630
## 53 BE11 281 Rarefaction 0 29.661529 27.152424 32.170633
## 54 BE11 305 Rarefaction 0 30.121871 27.489764 32.753978
## 55 BE11 328 Rarefaction 0 30.530064 27.775283 33.284845
## 56 BE11 351 Rarefaction 0 30.913169 28.031133 33.795206
## 57 BE11 375 Rarefaction 0 31.291853 28.272395 34.311310
## 58 BE11 398 Rarefaction 0 31.638444 28.483142 34.793746
## 59 BE11 422 Rarefaction 0 31.985816 28.684717 35.286914
## 60 BE11 423 Observed 0 32.000000 28.692740 35.307260
## 61 BE11 424 Extrapolation 0 32.014162 28.700733 35.327591
## 62 BE11 446 Extrapolation 0 32.320137 28.869023 35.771251
## 63 BE11 468 Extrapolation 0 32.615669 29.023156 36.208182
## 64 BE11 490 Extrapolation 0 32.901113 29.163588 36.638638
## 65 BE11 512 Extrapolation 0 33.176815 29.290807 37.062823
## 66 BE11 535 Extrapolation 0 33.454993 29.410237 37.499749
## 67 BE11 557 Extrapolation 0 33.711790 29.512043 37.911537
## 68 BE11 579 Extrapolation 0 33.959822 29.602241 38.317404
## 69 BE11 601 Extrapolation 0 34.199389 29.681373 38.717404
## 70 BE11 623 Extrapolation 0 34.430778 29.749980 39.111577
## 71 BE11 646 Extrapolation 0 34.664246 29.811025 39.517467
## 72 BE11 668 Extrapolation 0 34.879769 29.859740 39.899799
## 73 BE11 690 Extrapolation 0 35.087936 29.899505 40.276368
## 74 BE11 712 Extrapolation 0 35.288999 29.930809 40.647188
## 75 BE11 734 Extrapolation 0 35.483198 29.954122 41.012275
## 76 BE11 757 Extrapolation 0 35.679142 29.970438 41.387845
## 77 BE11 779 Extrapolation 0 35.860025 29.978789 41.741260
## 78 BE11 801 Extrapolation 0 36.034734 29.980464 42.089005
## 79 BE11 823 Extrapolation 0 36.203481 29.975854 42.431108
## 80 BE11 846 Extrapolation 0 36.373742 29.964721 42.782764
## 81 BE12 1 Rarefaction 0 1.000000 1.000000 1.000000
## 82 BE12 12 Rarefaction 0 7.345013 6.868374 7.821653
## 83 BE12 24 Rarefaction 0 10.836125 10.002638 11.669611
## 84 BE12 35 Rarefaction 0 12.944978 11.894782 13.995174
## 85 BE12 47 Rarefaction 0 14.630594 13.411270 15.849919
## 86 BE12 58 Rarefaction 0 15.821994 14.484549 17.159438
## 87 BE12 70 Rarefaction 0 16.854248 15.412998 18.295497
## 88 BE12 81 Rarefaction 0 17.616638 16.095593 19.137683
## 89 BE12 93 Rarefaction 0 18.293314 16.696798 19.889831
## 90 BE12 104 Rarefaction 0 18.800803 17.142720 20.458885
## 91 BE12 116 Rarefaction 0 19.256608 17.537355 20.975861
## 92 BE12 127 Rarefaction 0 19.602546 17.831233 21.373858
## 93 BE12 139 Rarefaction 0 19.917558 18.092580 21.742535
## 94 BE12 150 Rarefaction 0 20.160627 18.288424 22.032830
## 95 BE12 162 Rarefaction 0 20.386195 18.463726 22.308664
## 96 BE12 173 Rarefaction 0 20.563733 18.595560 22.531906
## 97 BE12 185 Rarefaction 0 20.731389 18.712843 22.749935
## 98 BE12 196 Rarefaction 0 20.864776 18.798671 22.930881
## 99 BE12 208 Rarefaction 0 20.990431 18.869765 23.111096
## 100 BE12 209 Observed 0 21.000000 18.874620 23.125380
## 101 BE12 210 Extrapolation 0 21.009433 18.879302 23.139565
## 102 BE12 220 Extrapolation 0 21.096696 18.917229 23.276162
## 103 BE12 231 Extrapolation 0 21.179299 18.942361 23.416237
## 104 BE12 242 Extrapolation 0 21.249863 18.952953 23.546774
## 105 BE12 253 Extrapolation 0 21.310144 18.951522 23.668766
## 106 BE12 264 Extrapolation 0 21.361639 18.940202 23.783076
## 107 BE12 275 Extrapolation 0 21.405629 18.920795 23.890463
## 108 BE12 286 Extrapolation 0 21.443208 18.894815 23.991600
## 109 BE12 297 Extrapolation 0 21.475310 18.863533 24.087087
## 110 BE12 308 Extrapolation 0 21.502734 18.828009 24.177458
## 111 BE12 319 Extrapolation 0 21.526160 18.789130 24.263191
## 112 BE12 330 Extrapolation 0 21.546173 18.747635 24.344711
## 113 BE12 341 Extrapolation 0 21.563269 18.704142 24.422396
## 114 BE12 352 Extrapolation 0 21.577873 18.659163 24.496584
## 115 BE12 363 Extrapolation 0 21.590349 18.613125 24.567574
## 116 BE12 374 Extrapolation 0 21.601007 18.566382 24.635632
## 117 BE12 385 Extrapolation 0 21.610111 18.519228 24.700994
## 118 BE12 396 Extrapolation 0 21.617889 18.471907 24.763871
## 119 BE12 407 Extrapolation 0 21.624533 18.424618 24.824448
## 120 BE12 418 Extrapolation 0 21.630209 18.377526 24.882891
## 121 BE13 1 Rarefaction 0 1.000000 1.000000 1.000000
## 122 BE13 19 Rarefaction 0 12.630236 12.158502 13.101969
## 123 BE13 37 Rarefaction 0 18.418019 17.422136 19.413902
## 124 BE13 56 Rarefaction 0 22.229059 20.790832 23.667285
## 125 BE13 74 Rarefaction 0 24.851477 23.050306 26.652648
## 126 BE13 92 Rarefaction 0 26.959730 24.826611 29.092848
## 127 BE13 111 Rarefaction 0 28.848596 26.392107 31.305086
## 128 BE13 129 Rarefaction 0 30.427141 27.688304 33.165978
## 129 BE13 148 Rarefaction 0 31.933919 28.921040 34.946798
## 130 BE13 166 Rarefaction 0 33.243929 29.992627 36.495231
## 131 BE13 184 Rarefaction 0 34.459533 30.988856 37.930210
## 132 BE13 203 Rarefaction 0 35.654192 31.970999 39.337386
## 133 BE13 221 Rarefaction 0 36.711440 32.843555 40.579324
## 134 BE13 240 Rarefaction 0 37.756304 33.709645 41.802963
## 135 BE13 258 Rarefaction 0 38.684490 34.482565 42.886414
## 136 BE13 276 Rarefaction 0 39.557362 35.212712 43.902012
## 137 BE13 295 Rarefaction 0 40.423182 35.940169 44.906196
## 138 BE13 313 Rarefaction 0 41.194588 36.590820 45.798356
## 139 BE13 332 Rarefaction 0 41.960961 37.239090 46.682832
## 140 BE13 333 Observed 0 42.000000 37.272148 46.727852
## 141 BE13 334 Extrapolation 0 42.038913 37.305100 46.772725
## 142 BE13 351 Extrapolation 0 42.681509 37.849197 47.513821
## 143 BE13 368 Extrapolation 0 43.289684 38.362778 48.216589
## 144 BE13 386 Extrapolation 0 43.898162 38.873307 48.923017
## 145 BE13 403 Extrapolation 0 44.441165 39.324284 49.558046
## 146 BE13 421 Extrapolation 0 44.984440 39.769248 50.199631
## 147 BE13 438 Extrapolation 0 45.469255 40.159412 50.779097
## 148 BE13 456 Extrapolation 0 45.954312 40.541575 51.367050
## 149 BE13 473 Extrapolation 0 46.387175 40.874255 51.900094
## 150 BE13 491 Extrapolation 0 46.820254 41.197781 52.442726
## 151 BE13 508 Extrapolation 0 47.206731 41.477396 52.936066
## 152 BE13 526 Extrapolation 0 47.593401 41.747348 53.439454
## 153 BE13 543 Extrapolation 0 47.938464 41.978936 53.897991
## 154 BE13 561 Extrapolation 0 48.283699 42.200815 54.366582
## 155 BE13 578 Extrapolation 0 48.591784 42.389635 54.793934
## 156 BE13 596 Extrapolation 0 48.900024 42.568997 55.231051
## 157 BE13 613 Extrapolation 0 49.175096 42.720226 55.629965
## 158 BE13 631 Extrapolation 0 49.450305 42.862424 56.038186
## 159 BE13 648 Extrapolation 0 49.695900 42.980956 56.410843
## 160 BE13 666 Extrapolation 0 49.941617 43.090970 56.792265
## 161 BE14 1 Rarefaction 0 1.000000 1.000000 1.000000
## 162 BE14 20 Rarefaction 0 13.090894 12.490047 13.691741
## 163 BE14 40 Rarefaction 0 19.715451 18.560763 20.870139
## 164 BE14 60 Rarefaction 0 24.044829 22.483418 25.606239
## 165 BE14 79 Rarefaction 0 27.113808 25.228603 28.999014
## 166 BE14 99 Rarefaction 0 29.707403 27.516843 31.897964
## 167 BE14 119 Rarefaction 0 31.874377 29.403863 34.344891
## 168 BE14 138 Rarefaction 0 33.653495 30.936390 36.370601
## 169 BE14 158 Rarefaction 0 35.306797 32.347656 38.265937
## 170 BE14 178 Rarefaction 0 36.786473 33.600349 39.972597
## 171 BE14 197 Rarefaction 0 38.065288 34.674491 41.456084
## 172 BE14 217 Rarefaction 0 39.303941 35.705967 42.901916
## 173 BE14 237 Rarefaction 0 40.452149 36.652209 44.252090
## 174 BE14 256 Rarefaction 0 41.472750 37.483007 45.462493
## 175 BE14 276 Rarefaction 0 42.483624 38.293753 46.673495
## 176 BE14 296 Rarefaction 0 43.437131 39.044676 47.829586
## 177 BE14 315 Rarefaction 0 44.294857 39.706128 48.883585
## 178 BE14 335 Rarefaction 0 45.150687 40.350090 49.951284
## 179 BE14 355 Rarefaction 0 45.960674 40.941827 50.979521
## 180 BE14 356 Observed 0 46.000000 40.970058 51.029942
## 181 BE14 357 Extrapolation 0 46.039215 40.998160 51.080271
## 182 BE14 375 Extrapolation 0 46.726552 41.482306 51.970799
## 183 BE14 394 Extrapolation 0 47.415292 41.949926 52.880658
## 184 BE14 413 Extrapolation 0 48.068189 42.374843 53.761534
## 185 BE14 431 Extrapolation 0 48.655350 42.739862 54.570838
## 186 BE14 450 Extrapolation 0 49.243710 43.087582 55.399838
## 187 BE14 469 Extrapolation 0 49.801451 43.398847 56.204054
## 188 BE14 487 Extrapolation 0 50.303037 43.662080 56.943993
## 189 BE14 506 Extrapolation 0 50.805647 43.908591 57.702702
## 190 BE14 525 Extrapolation 0 51.282100 44.124976 58.439223
## 191 BE14 543 Extrapolation 0 51.710582 44.304027 59.117138
## 192 BE14 562 Extrapolation 0 52.139940 44.467502 59.812377
## 193 BE14 581 Extrapolation 0 52.546952 44.606591 60.487314
## 194 BE14 599 Extrapolation 0 52.912986 44.717459 61.108513
## 195 BE14 618 Extrapolation 0 53.279767 44.814015 61.745520
## 196 BE14 637 Extrapolation 0 53.627460 44.891078 62.363842
## 197 BE14 655 Extrapolation 0 53.940146 44.947434 62.932859
## 198 BE14 674 Extrapolation 0 54.253471 44.990654 63.516289
## 199 BE14 693 Extrapolation 0 54.550490 45.018427 64.082553
## 200 BE14 712 Extrapolation 0 54.832051 45.031946 64.632156
## 201 BE15 1 Rarefaction 0 1.000000 1.000000 1.000000
## 202 BE15 9 Rarefaction 0 7.814112 7.612406 8.015818
## 203 BE15 18 Rarefaction 0 13.581021 12.959830 14.202212
## 204 BE15 26 Rarefaction 0 17.562965 16.533935 18.591995
## 205 BE15 35 Rarefaction 0 21.159334 19.687645 22.631022
## 206 BE15 44 Rarefaction 0 24.092468 22.213230 25.971706
## 207 BE15 52 Rarefaction 0 26.293249 24.083535 28.502964
## 208 BE15 61 Rarefaction 0 28.424764 25.875914 30.973613
## 209 BE15 69 Rarefaction 0 30.080357 27.254884 32.905829
## 210 BE15 78 Rarefaction 0 31.730038 28.616154 34.843922
## 211 BE15 87 Rarefaction 0 33.197592 29.814331 36.580854
## 212 BE15 95 Rarefaction 0 34.376523 30.765930 37.987115
## 213 BE15 104 Rarefaction 0 35.585023 31.728435 39.441610
## 214 BE15 112 Rarefaction 0 36.570246 32.500690 40.639801
## 215 BE15 121 Rarefaction 0 37.593139 33.287264 41.899015
## 216 BE15 130 Rarefaction 0 38.537964 33.996235 43.079693
## 217 BE15 138 Rarefaction 0 39.320806 34.567537 44.074075
## 218 BE15 147 Rarefaction 0 40.145276 35.149557 45.140996
## 219 BE15 156 Rarefaction 0 40.917197 35.672019 46.162376
## 220 BE15 157 Observed 0 41.000000 35.726574 46.273426
## 221 BE15 158 Extrapolation 0 41.082235 35.780447 46.384023
## 222 BE15 166 Extrapolation 0 41.720138 36.187376 47.252901
## 223 BE15 174 Extrapolation 0 42.323882 36.553035 48.094729
## 224 BE15 182 Extrapolation 0 42.895295 36.879611 48.910978
## 225 BE15 190 Extrapolation 0 43.436109 37.169358 49.702860
## 226 BE15 199 Extrapolation 0 44.009986 37.454135 50.565836
## 227 BE15 207 Extrapolation 0 44.491108 37.673167 51.309049
## 228 BE15 215 Extrapolation 0 44.946466 37.862411 52.030522
## 229 BE15 223 Extrapolation 0 45.377440 38.024010 52.730871
## 230 BE15 231 Extrapolation 0 45.785336 38.160019 53.410652
## 231 BE15 240 Extrapolation 0 46.218168 38.284869 54.151467
## 232 BE15 248 Extrapolation 0 46.581042 38.372850 54.789234
## 233 BE15 256 Extrapolation 0 46.924485 38.440985 55.407984
## 234 BE15 264 Extrapolation 0 47.249536 38.490885 56.008186
## 235 BE15 272 Extrapolation 0 47.557180 38.524055 56.590305
## 236 BE15 281 Extrapolation 0 47.883633 38.543114 57.224152
## 237 BE15 289 Extrapolation 0 48.157322 38.545262 57.769382
## 238 BE15 297 Extrapolation 0 48.416355 38.534737 58.297972
## 239 BE15 305 Extrapolation 0 48.661516 38.512650 58.810382
## 240 BE15 314 Extrapolation 0 48.921666 38.475260 59.368072
## 241 BE16 1 Rarefaction 0 1.000000 1.000000 1.000000
## 242 BE16 20 Rarefaction 0 9.838871 9.201413 10.476329
## 243 BE16 39 Rarefaction 0 13.870646 12.829297 14.911995
## 244 BE16 58 Rarefaction 0 16.410256 15.092656 17.727856
## 245 BE16 77 Rarefaction 0 18.170957 16.649130 19.692784
## 246 BE16 97 Rarefaction 0 19.523013 17.836796 21.209230
## 247 BE16 116 Rarefaction 0 20.500838 18.691752 22.309924
## 248 BE16 135 Rarefaction 0 21.275369 19.366588 23.184149
## 249 BE16 154 Rarefaction 0 21.904830 19.913233 23.896426
## 250 BE16 174 Rarefaction 0 22.452784 20.387224 24.518344
## 251 BE16 193 Rarefaction 0 22.891794 20.764948 25.018640
## 252 BE16 212 Rarefaction 0 23.270094 21.088045 25.452142
## 253 BE16 231 Rarefaction 0 23.600869 21.367652 25.834085
## 254 BE16 250 Rarefaction 0 23.893699 21.611701 26.175696
## 255 BE16 270 Rarefaction 0 24.168590 21.836317 26.500863
## 256 BE16 289 Rarefaction 0 24.403287 22.023016 26.783558
## 257 BE16 308 Rarefaction 0 24.615804 22.186159 27.045449
## 258 BE16 327 Rarefaction 0 24.808491 22.326974 27.290009
## 259 BE16 347 Rarefaction 0 24.991379 22.451263 27.531496
## 260 BE16 348 Observed 0 25.000000 22.456820 27.543180
## 261 BE16 349 Extrapolation 0 25.008571 22.462315 27.554827
## 262 BE16 367 Extrapolation 0 25.154722 22.550854 27.758589
## 263 BE16 385 Extrapolation 0 25.286509 22.620881 27.952137
## 264 BE16 403 Extrapolation 0 25.405344 22.674023 28.136665
## 265 BE16 422 Extrapolation 0 25.518135 22.713536 28.322734
## 266 BE16 440 Extrapolation 0 25.614207 22.736830 28.491583
## 267 BE16 458 Extrapolation 0 25.700837 22.747805 28.653869
## 268 BE16 476 Extrapolation 0 25.778953 22.747777 28.810129
## 269 BE16 495 Extrapolation 0 25.853096 22.737152 28.969040
## 270 BE16 513 Extrapolation 0 25.916248 22.718212 29.114284
## 271 BE16 531 Extrapolation 0 25.973195 22.691671 29.254718
## 272 BE16 549 Extrapolation 0 26.024544 22.658444 29.390644
## 273 BE16 568 Extrapolation 0 26.073282 22.617032 29.529532
## 274 BE16 586 Extrapolation 0 26.114795 22.572573 29.657017
## 275 BE16 604 Extrapolation 0 26.152228 22.523709 29.780748
## 276 BE16 622 Extrapolation 0 26.185983 22.471038 29.900927
## 277 BE16 641 Extrapolation 0 26.218021 22.411902 30.024139
## 278 BE16 659 Extrapolation 0 26.245309 22.353026 30.137593
## 279 BE16 677 Extrapolation 0 26.269916 22.291808 30.248024
## 280 BE16 696 Extrapolation 0 26.293271 22.225067 30.361475
## 281 BE17 1 Rarefaction 0 1.000000 1.000000 1.000000
## 282 BE17 12 Rarefaction 0 9.239218 8.878120 9.600316
## 283 BE17 24 Rarefaction 0 14.739250 13.871472 15.607028
## 284 BE17 35 Rarefaction 0 18.171689 16.954305 19.389072
## 285 BE17 47 Rarefaction 0 20.939536 19.455070 22.424002
## 286 BE17 58 Rarefaction 0 22.907156 21.249715 24.564596
## 287 BE17 70 Rarefaction 0 24.622764 22.827945 26.417583
## 288 BE17 81 Rarefaction 0 25.898287 24.008749 27.787825
## 289 BE17 93 Rarefaction 0 27.036050 25.064980 29.007120
## 290 BE17 104 Rarefaction 0 27.890092 25.856400 29.923783
## 291 BE17 116 Rarefaction 0 28.652185 26.557008 30.747362
## 292 BE17 127 Rarefaction 0 29.220580 27.071336 31.369823
## 293 BE17 139 Rarefaction 0 29.721365 27.512718 31.930013
## 294 BE17 150 Rarefaction 0 30.087637 27.822548 32.352726
## 295 BE17 162 Rarefaction 0 30.401422 28.071543 32.731300
## 296 BE17 173 Rarefaction 0 30.621954 28.229185 33.014723
## 297 BE17 185 Rarefaction 0 30.800304 28.334668 33.265939
## 298 BE17 196 Rarefaction 0 30.915086 28.378373 33.451799
## 299 BE17 208 Rarefaction 0 30.995215 28.375787 33.614644
## 300 BE17 209 Observed 0 31.000000 28.373415 33.626585
## 301 BE17 210 Extrapolation 0 31.004524 28.370743 33.638304
## 302 BE17 220 Extrapolation 0 31.038186 28.330296 33.746075
## 303 BE17 231 Extrapolation 0 31.058789 28.265085 33.852494
## 304 BE17 242 Extrapolation 0 31.069907 28.186248 33.953565
## 305 BE17 253 Extrapolation 0 31.075905 28.098590 34.053220
## 306 BE17 264 Extrapolation 0 31.079142 28.004967 34.153316
## 307 BE17 275 Extrapolation 0 31.080888 27.907183 34.254593
## 308 BE17 286 Extrapolation 0 31.081830 27.806464 34.357197
## 309 BE17 297 Extrapolation 0 31.082339 27.703705 34.460973
## 310 BE17 308 Extrapolation 0 31.082613 27.599598 34.565628
## 311 BE17 319 Extrapolation 0 31.082761 27.494702 34.670820
## 312 BE17 330 Extrapolation 0 31.082841 27.389475 34.776207
## 313 BE17 341 Extrapolation 0 31.082884 27.284303 34.881465
## 314 BE17 352 Extrapolation 0 31.082907 27.179507 34.986308
## 315 BE17 363 Extrapolation 0 31.082920 27.075354 35.090485
## 316 BE17 374 Extrapolation 0 31.082927 26.972069 35.193785
## 317 BE17 385 Extrapolation 0 31.082930 26.869832 35.296028
## 318 BE17 396 Extrapolation 0 31.082932 26.768795 35.397070
## 319 BE17 407 Extrapolation 0 31.082933 26.669075 35.496792
## 320 BE17 418 Extrapolation 0 31.082934 26.570767 35.595101
## 321 BE18 1 Rarefaction 0 1.000000 1.000000 1.000000
## 322 BE18 21 Rarefaction 0 12.112884 11.372092 12.853675
## 323 BE18 41 Rarefaction 0 18.210635 16.994941 19.426329
## 324 BE18 62 Rarefaction 0 22.736555 21.127284 24.345827
## 325 BE18 82 Rarefaction 0 26.072384 24.134658 28.010110
## 326 BE18 103 Rarefaction 0 28.939061 26.678729 31.199392
## 327 BE18 123 Rarefaction 0 31.252803 28.695432 33.810174
## 328 BE18 144 Rarefaction 0 33.362580 30.499582 36.225579
## 329 BE18 164 Rarefaction 0 35.137727 31.987963 38.287490
## 330 BE18 185 Rarefaction 0 36.807405 33.359951 40.254859
## 331 BE18 205 Rarefaction 0 38.247899 34.519215 41.976583
## 332 BE18 225 Rarefaction 0 39.568693 35.560096 43.577289
## 333 BE18 246 Rarefaction 0 40.848993 36.547039 45.150946
## 334 BE18 266 Rarefaction 0 41.984018 37.402517 46.565519
## 335 BE18 287 Rarefaction 0 43.102250 38.226465 47.978035
## 336 BE18 307 Rarefaction 0 44.108755 38.951509 49.266001
## 337 BE18 328 Rarefaction 0 45.114332 39.659818 50.568847
## 338 BE18 348 Rarefaction 0 46.030936 40.291157 51.770715
## 339 BE18 369 Rarefaction 0 46.956757 40.914548 52.998965
## 340 BE18 370 Observed 0 47.000000 40.943303 53.056697
## 341 BE18 371 Extrapolation 0 47.043170 40.971976 53.114364
## 342 BE18 390 Extrapolation 0 47.849673 41.501423 54.197923
## 343 BE18 409 Extrapolation 0 48.630655 42.002348 55.258963
## 344 BE18 429 Extrapolation 0 49.426060 42.499871 56.352249
## 345 BE18 448 Extrapolation 0 50.157161 42.945280 57.369041
## 346 BE18 468 Extrapolation 0 50.901762 43.386621 58.416904
## 347 BE18 487 Extrapolation 0 51.586168 43.780869 59.391467
## 348 BE18 506 Extrapolation 0 52.248917 44.151827 60.346008
## 349 BE18 526 Extrapolation 0 52.923905 44.518329 61.329480
## 350 BE18 545 Extrapolation 0 53.544324 44.844836 62.243811
## 351 BE18 565 Extrapolation 0 54.176200 45.166885 63.185514
## 352 BE18 584 Extrapolation 0 54.756993 45.453331 64.060654
## 353 BE18 604 Extrapolation 0 55.348510 45.735427 64.961594
## 354 BE18 623 Extrapolation 0 55.892208 45.985952 65.798464
## 355 BE18 642 Extrapolation 0 56.418702 46.220385 66.617019
## 356 BE18 662 Extrapolation 0 56.954917 46.450724 67.459111
## 357 BE18 681 Extrapolation 0 57.447784 46.654803 68.240765
## 358 BE18 701 Extrapolation 0 57.949751 46.854983 69.044520
## 359 BE18 720 Extrapolation 0 58.411138 47.032027 69.790249
## 360 BE18 740 Extrapolation 0 58.881045 47.205366 70.556724
## 361 BE19 1 Rarefaction 0 1.000000 1.000000 1.000000
## 362 BE19 20 Rarefaction 0 11.653124 11.069809 12.236438
## 363 BE19 39 Rarefaction 0 17.536342 16.553949 18.518734
## 364 BE19 58 Rarefaction 0 21.624550 20.337385 22.911716
## 365 BE19 77 Rarefaction 0 24.681593 23.160048 26.203138
## 366 BE19 96 Rarefaction 0 27.060479 25.353678 28.767279
## 367 BE19 115 Rarefaction 0 28.957737 27.099117 30.816357
## 368 BE19 134 Rarefaction 0 30.494614 28.506757 32.482472
## 369 BE19 153 Rarefaction 0 31.751758 29.649795 33.853720
## 370 BE19 172 Rarefaction 0 32.786321 30.580264 34.992379
## 371 BE19 191 Rarefaction 0 33.640998 31.337358 35.944637
## 372 BE19 210 Rarefaction 0 34.349033 31.951998 36.746069
## 373 BE19 229 Rarefaction 0 34.937175 32.449429 37.424920
## 374 BE19 248 Rarefaction 0 35.427491 32.850785 38.004197
## 375 BE19 267 Rarefaction 0 35.838555 33.174046 38.503064
## 376 BE19 286 Rarefaction 0 36.186226 33.434654 38.937799
## 377 BE19 305 Rarefaction 0 36.484182 33.645905 39.322460
## 378 BE19 324 Rarefaction 0 36.744274 33.819197 39.669352
## 379 BE19 344 Rarefaction 0 36.988406 33.971180 40.005631
## 380 BE19 345 Observed 0 37.000000 33.978130 40.021870
## 381 BE19 346 Extrapolation 0 37.011544 33.985025 40.038062
## 382 BE19 364 Extrapolation 0 37.210970 34.099897 40.322044
## 383 BE19 382 Extrapolation 0 37.395374 34.197833 40.592916
## 384 BE19 400 Extrapolation 0 37.565887 34.279831 40.851944
## 385 BE19 418 Extrapolation 0 37.723556 34.347050 41.100061
## 386 BE19 436 Extrapolation 0 37.869347 34.400725 41.337968
## 387 BE19 454 Extrapolation 0 38.004156 34.442107 41.566204
## 388 BE19 472 Extrapolation 0 38.128809 34.472408 41.785211
## 389 BE19 490 Extrapolation 0 38.244073 34.492777 41.995369
## 390 BE19 508 Extrapolation 0 38.350654 34.504280 42.197027
## 391 BE19 527 Extrapolation 0 38.454458 34.507879 42.401038
## 392 BE19 545 Extrapolation 0 38.545191 34.504115 42.586267
## 393 BE19 563 Extrapolation 0 38.629089 34.494175 42.764003
## 394 BE19 581 Extrapolation 0 38.706667 34.478763 42.934570
## 395 BE19 599 Extrapolation 0 38.778401 34.458507 43.098294
## 396 BE19 617 Extrapolation 0 38.844731 34.433964 43.255498
## 397 BE19 635 Extrapolation 0 38.906065 34.405630 43.406500
## 398 BE19 653 Extrapolation 0 38.962778 34.373942 43.551614
## 399 BE19 671 Extrapolation 0 39.015219 34.339291 43.691148
## 400 BE19 690 Extrapolation 0 39.066295 34.299881 43.832708
## 401 BE2 1 Rarefaction 0 1.000000 1.000000 1.000000
## 402 BE2 25 Rarefaction 0 13.023076 12.517135 13.529017
## 403 BE2 49 Rarefaction 0 17.407399 16.476055 18.338743
## 404 BE2 73 Rarefaction 0 19.980530 18.702269 21.258791
## 405 BE2 97 Rarefaction 0 21.838222 20.254254 23.422190
## 406 BE2 121 Rarefaction 0 23.304229 21.449518 25.158941
## 407 BE2 145 Rarefaction 0 24.518636 22.428184 26.609087
## 408 BE2 169 Rarefaction 0 25.557721 23.265279 27.850164
## 409 BE2 193 Rarefaction 0 26.467683 24.004061 28.931306
## 410 BE2 217 Rarefaction 0 27.278150 24.670370 29.885931
## 411 BE2 241 Rarefaction 0 28.008871 25.279970 30.737773
## 412 BE2 265 Rarefaction 0 28.673349 25.842543 31.504155
## 413 BE2 289 Rarefaction 0 29.280941 26.363949 32.197934
## 414 BE2 313 Rarefaction 0 29.838156 26.847554 32.828757
## 415 BE2 337 Rarefaction 0 30.349501 27.295076 33.403926
## 416 BE2 361 Rarefaction 0 30.818092 27.707132 33.929051
## 417 BE2 385 Rarefaction 0 31.246090 28.083622 34.408559
## 418 BE2 409 Rarefaction 0 31.635050 28.424000 34.846100
## 419 BE2 433 Rarefaction 0 31.986175 28.727462 35.244888
## 420 BE2 434 Observed 0 32.000000 28.739292 35.260708
## 421 BE2 435 Extrapolation 0 32.013761 28.751055 35.276468
## 422 BE2 457 Extrapolation 0 32.301007 28.993310 35.608703
## 423 BE2 480 Extrapolation 0 32.571742 29.213853 35.929630
## 424 BE2 503 Extrapolation 0 32.815250 29.402748 36.227751
## 425 BE2 526 Extrapolation 0 33.034269 29.561987 36.506550
## 426 BE2 548 Extrapolation 0 33.223124 29.688488 36.757760
## 427 BE2 571 Extrapolation 0 33.401124 29.795820 37.006429
## 428 BE2 594 Extrapolation 0 33.561224 29.879789 37.242659
## 429 BE2 617 Extrapolation 0 33.705222 29.942488 37.467956
## 430 BE2 640 Extrapolation 0 33.834739 29.985933 37.683545
## 431 BE2 662 Extrapolation 0 33.946419 30.011233 37.881604
## 432 BE2 685 Extrapolation 0 34.051680 30.022416 38.080943
## 433 BE2 708 Extrapolation 0 34.146354 30.019634 38.273075
## 434 BE2 731 Extrapolation 0 34.231508 30.004421 38.458595
## 435 BE2 754 Extrapolation 0 34.308098 29.978185 38.638011
## 436 BE2 776 Extrapolation 0 34.374140 29.943956 38.804324
## 437 BE2 799 Extrapolation 0 34.436386 29.899744 38.973027
## 438 BE2 822 Extrapolation 0 34.492372 29.847956 39.136787
## 439 BE2 845 Extrapolation 0 34.542727 29.789540 39.295914
## 440 BE2 868 Extrapolation 0 34.588019 29.725352 39.450685
## 441 BE20 1 Rarefaction 0 1.000000 1.000000 1.000000
## 442 BE20 9 Rarefaction 0 4.998871 4.578846 5.418896
## 443 BE20 17 Rarefaction 0 7.549573 6.877828 8.221317
## 444 BE20 25 Rarefaction 0 9.491694 8.599614 10.383774
## 445 BE20 33 Rarefaction 0 11.025323 9.925868 12.124778
## 446 BE20 41 Rarefaction 0 12.273575 10.970320 13.576830
## 447 BE20 50 Rarefaction 0 13.433704 11.897119 14.970289
## 448 BE20 58 Rarefaction 0 14.304538 12.553626 16.055450
## 449 BE20 66 Rarefaction 0 15.061033 13.089107 17.032959
## 450 BE20 74 Rarefaction 0 15.728438 13.530120 17.926756
## 451 BE20 82 Rarefaction 0 16.325805 13.897465 18.754146
## 452 BE20 90 Rarefaction 0 16.867926 14.207588 19.528265
## 453 BE20 99 Rarefaction 0 17.426259 14.504197 20.348321
## 454 BE20 107 Rarefaction 0 17.886975 14.732634 21.041315
## 455 BE20 115 Rarefaction 0 18.321915 14.936202 21.707627
## 456 BE20 123 Rarefaction 0 18.737000 15.121056 22.352944
## 457 BE20 131 Rarefaction 0 19.136982 15.291954 22.982011
## 458 BE20 139 Rarefaction 0 19.525643 15.452515 23.598772
## 459 BE20 148 Rarefaction 0 19.953020 15.624094 24.281947
## 460 BE20 149 Observed 0 20.000000 15.642683 24.357317
## 461 BE20 150 Extrapolation 0 20.046889 15.661163 24.432615
## 462 BE20 157 Extrapolation 0 20.372595 15.787510 24.957680
## 463 BE20 165 Extrapolation 0 20.739485 15.925517 25.553453
## 464 BE20 173 Extrapolation 0 21.100758 16.056822 26.144694
## 465 BE20 181 Extrapolation 0 21.456499 16.181550 26.731449
## 466 BE20 188 Extrapolation 0 21.763302 16.285400 27.241204
## 467 BE20 196 Extrapolation 0 22.108900 16.398183 27.819616
## 468 BE20 204 Extrapolation 0 22.449206 16.504829 28.393582
## 469 BE20 212 Extrapolation 0 22.784301 16.605519 28.963084
## 470 BE20 220 Extrapolation 0 23.114267 16.700442 29.528091
## 471 BE20 227 Extrapolation 0 23.398839 16.778924 30.018754
## 472 BE20 235 Extrapolation 0 23.719395 16.863569 30.575222
## 473 BE20 243 Extrapolation 0 24.035044 16.943022 31.127065
## 474 BE20 251 Extrapolation 0 24.345859 17.017488 31.674230
## 475 BE20 259 Extrapolation 0 24.651916 17.087165 32.216666
## 476 BE20 266 Extrapolation 0 24.915869 17.144362 32.687376
## 477 BE20 274 Extrapolation 0 25.213198 17.205592 33.220805
## 478 BE20 282 Extrapolation 0 25.505975 17.262589 33.749361
## 479 BE20 290 Extrapolation 0 25.794270 17.315537 34.273003
## 480 BE20 298 Extrapolation 0 26.078150 17.364611 34.791690
## 481 BE21 1 Rarefaction 0 1.000000 1.000000 1.000000
## 482 BE21 21 Rarefaction 0 13.115679 12.637100 13.594258
## 483 BE21 42 Rarefaction 0 19.201210 18.300529 20.101891
## 484 BE21 63 Rarefaction 0 22.873653 21.627956 24.119350
## 485 BE21 83 Rarefaction 0 25.261995 23.727823 26.796167
## 486 BE21 104 Rarefaction 0 27.101914 25.293561 28.910267
## 487 BE21 125 Rarefaction 0 28.509440 26.449186 30.569693
## 488 BE21 145 Rarefaction 0 29.577591 27.293840 31.861343
## 489 BE21 166 Rarefaction 0 30.494988 27.990212 32.999763
## 490 BE21 187 Rarefaction 0 31.257564 28.542748 33.972381
## 491 BE21 207 Rarefaction 0 31.874714 28.967847 34.781582
## 492 BE21 228 Rarefaction 0 32.434287 29.332318 35.536255
## 493 BE21 249 Rarefaction 0 32.922967 29.631094 36.214841
## 494 BE21 269 Rarefaction 0 33.336297 29.867195 36.805399
## 495 BE21 290 Rarefaction 0 33.726760 30.074261 37.379259
## 496 BE21 311 Rarefaction 0 34.081608 30.247410 37.915805
## 497 BE21 331 Rarefaction 0 34.393189 30.386603 38.399774
## 498 BE21 352 Rarefaction 0 34.698527 30.510716 38.886339
## 499 BE21 373 Rarefaction 0 34.986631 30.616500 39.356762
## 500 BE21 374 Observed 0 35.000000 30.621145 39.378855
## 501 BE21 375 Extrapolation 0 35.013340 30.625758 39.400923
## 502 BE21 394 Extrapolation 0 35.261452 30.707391 39.815513
## 503 BE21 414 Extrapolation 0 35.511937 30.781775 40.242099
## 504 BE21 433 Extrapolation 0 35.740160 30.842353 40.637966
## 505 BE21 453 Extrapolation 0 35.970566 30.896264 41.044868
## 506 BE21 473 Extrapolation 0 36.191308 30.940732 41.441884
## 507 BE21 492 Extrapolation 0 36.392431 30.974781 41.810080
## 508 BE21 512 Extrapolation 0 36.595478 31.002530 42.188425
## 509 BE21 532 Extrapolation 0 36.790008 31.022491 42.557525
## 510 BE21 551 Extrapolation 0 36.967249 31.034688 42.899810
## 511 BE21 571 Extrapolation 0 37.146186 31.040851 43.251521
## 512 BE21 590 Extrapolation 0 37.309219 31.040760 43.577677
## 513 BE21 610 Extrapolation 0 37.473812 31.034809 43.912814
## 514 BE21 630 Extrapolation 0 37.631501 31.023246 44.239755
## 515 BE21 649 Extrapolation 0 37.775175 31.007407 44.542943
## 516 BE21 669 Extrapolation 0 37.920223 30.985969 44.854478
## 517 BE21 689 Extrapolation 0 38.059188 30.959977 45.158399
## 518 BE21 708 Extrapolation 0 38.185802 30.931359 45.440244
## 519 BE21 728 Extrapolation 0 38.313627 30.897394 45.729859
## 520 BE21 748 Extrapolation 0 38.436091 30.859772 46.012409
## 521 BE22 1 Rarefaction 0 1.000000 1.000000 1.000000
## 522 BE22 13 Rarefaction 0 7.899465 7.430114 8.368815
## 523 BE22 26 Rarefaction 0 11.603777 10.740776 12.466777
## 524 BE22 39 Rarefaction 0 13.950397 12.779537 15.121257
## 525 BE22 52 Rarefaction 0 15.644976 14.244758 17.045194
## 526 BE22 64 Rarefaction 0 16.872635 15.315471 18.429798
## 527 BE22 77 Rarefaction 0 17.957380 16.273645 19.641116
## 528 BE22 90 Rarefaction 0 18.852567 17.074034 20.631101
## 529 BE22 103 Rarefaction 0 19.599490 17.747129 21.451852
## 530 BE22 116 Rarefaction 0 20.226705 18.313201 22.140209
## 531 BE22 128 Rarefaction 0 20.718151 18.754083 22.682219
## 532 BE22 141 Rarefaction 0 21.171919 19.155217 23.188622
## 533 BE22 154 Rarefaction 0 21.557731 19.487615 23.627847
## 534 BE22 167 Rarefaction 0 21.887440 19.761187 24.013693
## 535 BE22 179 Rarefaction 0 22.150670 19.969265 24.332075
## 536 BE22 192 Rarefaction 0 22.399347 20.154180 24.644513
## 537 BE22 205 Rarefaction 0 22.617351 20.304227 24.930475
## 538 BE22 218 Rarefaction 0 22.811278 20.426185 25.196371
## 539 BE22 231 Rarefaction 0 22.987069 20.526230 25.447908
## 540 BE22 232 Observed 0 23.000000 20.533183 25.466817
## 541 BE22 233 Extrapolation 0 23.012857 20.540041 25.485672
## 542 BE22 245 Extrapolation 0 23.161503 20.615053 25.707953
## 543 BE22 257 Extrapolation 0 23.300229 20.677170 25.923288
## 544 BE22 269 Extrapolation 0 23.429698 20.727182 26.132214
## 545 BE22 281 Extrapolation 0 23.550527 20.765879 26.335175
## 546 BE22 293 Extrapolation 0 23.663292 20.794049 26.532535
## 547 BE22 305 Extrapolation 0 23.768532 20.812474 26.724590
## 548 BE22 318 Extrapolation 0 23.874632 20.822322 26.926942
## 549 BE22 330 Extrapolation 0 23.965768 20.822866 27.108671
## 550 BE22 342 Extrapolation 0 24.050823 20.815932 27.285714
## 551 BE22 354 Extrapolation 0 24.130201 20.802188 27.458215
## 552 BE22 366 Extrapolation 0 24.204283 20.782264 27.626301
## 553 BE22 378 Extrapolation 0 24.273420 20.756752 27.790089
## 554 BE22 391 Extrapolation 0 24.343123 20.723443 27.962803
## 555 BE22 403 Extrapolation 0 24.402995 20.688005 28.117985
## 556 BE22 415 Extrapolation 0 24.458872 20.648545 28.269199
## 557 BE22 427 Extrapolation 0 24.511020 20.605492 28.416547
## 558 BE22 439 Extrapolation 0 24.559688 20.559243 28.560132
## 559 BE22 451 Extrapolation 0 24.605108 20.510157 28.700058
## 560 BE22 464 Extrapolation 0 24.650899 20.454165 28.847632
## 561 BE23 1 Rarefaction 0 1.000000 1.000000 1.000000
## 562 BE23 13 Rarefaction 0 7.303662 6.783860 7.823463
## 563 BE23 25 Rarefaction 0 10.396894 9.459347 11.334441
## 564 BE23 37 Rarefaction 0 12.413750 11.151785 13.675715
## 565 BE23 49 Rarefaction 0 13.902563 12.387187 15.417938
## 566 BE23 62 Rarefaction 0 15.168013 13.429557 16.906470
## 567 BE23 74 Rarefaction 0 16.118072 14.203061 18.033082
## 568 BE23 86 Rarefaction 0 16.910940 14.837179 18.984700
## 569 BE23 98 Rarefaction 0 17.578553 15.358237 19.798870
## 570 BE23 111 Rarefaction 0 18.187333 15.818486 20.556181
## 571 BE23 123 Rarefaction 0 18.663242 16.164915 21.161569
## 572 BE23 135 Rarefaction 0 19.072157 16.450578 21.693737
## 573 BE23 147 Rarefaction 0 19.426951 16.687550 22.166352
## 574 BE23 159 Rarefaction 0 19.738685 16.886191 22.591178
## 575 BE23 172 Rarefaction 0 20.038857 17.068381 23.009333
## 576 BE23 184 Rarefaction 0 20.290118 17.214144 23.366091
## 577 BE23 196 Rarefaction 0 20.523969 17.344970 23.702969
## 578 BE23 208 Rarefaction 0 20.746715 17.466301 24.027129
## 579 BE23 221 Rarefaction 0 20.981982 17.592398 24.371566
## 580 BE23 222 Observed 0 21.000000 17.602011 24.397989
## 581 BE23 223 Extrapolation 0 21.017964 17.611568 24.424359
## 582 BE23 234 Extrapolation 0 21.212036 17.712952 24.711120
## 583 BE23 246 Extrapolation 0 21.416544 17.815484 25.017604
## 584 BE23 257 Extrapolation 0 21.597627 17.901888 25.293365
## 585 BE23 269 Extrapolation 0 21.788447 17.987812 25.589082
## 586 BE23 281 Extrapolation 0 21.972493 18.065110 25.879877
## 587 BE23 292 Extrapolation 0 22.135458 18.128546 26.142369
## 588 BE23 304 Extrapolation 0 22.307185 18.189899 26.424471
## 589 BE23 316 Extrapolation 0 22.472817 18.243377 26.702257
## 590 BE23 327 Extrapolation 0 22.619476 18.285790 26.953162
## 591 BE23 339 Extrapolation 0 22.774021 18.325209 27.222834
## 592 BE23 350 Extrapolation 0 22.910864 18.355395 27.466332
## 593 BE23 362 Extrapolation 0 23.055065 18.382211 27.727920
## 594 BE23 374 Extrapolation 0 23.194148 18.403031 27.985265
## 595 BE23 385 Extrapolation 0 23.317299 18.417181 28.217417
## 596 BE23 397 Extrapolation 0 23.447072 18.427580 28.466564
## 597 BE23 409 Extrapolation 0 23.572239 18.433074 28.711404
## 598 BE23 420 Extrapolation 0 23.683068 18.434092 28.932043
## 599 BE23 432 Extrapolation 0 23.799857 18.431123 29.168590
## 600 BE23 444 Extrapolation 0 23.912500 18.424196 29.400804
## 601 BE24 1 Rarefaction 0 1.000000 1.000000 1.000000
## 602 BE24 18 Rarefaction 0 6.864988 6.181002 7.548974
## 603 BE24 35 Rarefaction 0 10.030663 9.019072 11.042255
## 604 BE24 52 Rarefaction 0 12.141490 10.923038 13.359942
## 605 BE24 69 Rarefaction 0 13.673474 12.314912 15.032037
## 606 BE24 87 Rarefaction 0 14.906927 13.440109 16.373746
## 607 BE24 104 Rarefaction 0 15.825390 14.277752 17.373028
## 608 BE24 121 Rarefaction 0 16.572932 14.956490 18.189373
## 609 BE24 138 Rarefaction 0 17.191822 15.513587 18.870056
## 610 BE24 156 Rarefaction 0 17.738221 15.998784 19.477657
## 611 BE24 173 Rarefaction 0 18.172099 16.376766 19.967432
## 612 BE24 190 Rarefaction 0 18.540800 16.690048 20.391552
## 613 BE24 207 Rarefaction 0 18.855179 16.948535 20.761823
## 614 BE24 224 Rarefaction 0 19.123735 17.160025 21.087445
## 615 BE24 242 Rarefaction 0 19.365698 17.339687 21.391708
## 616 BE24 259 Rarefaction 0 19.560013 17.472931 21.647095
## 617 BE24 276 Rarefaction 0 19.725817 17.575102 21.876532
## 618 BE24 293 Rarefaction 0 19.867040 17.649762 22.084318
## 619 BE24 311 Rarefaction 0 19.993590 17.702209 22.284970
## 620 BE24 312 Observed 0 20.000000 17.704384 22.295616
## 621 BE24 313 Extrapolation 0 20.006349 17.706487 22.306211
## 622 BE24 329 Extrapolation 0 20.100065 17.730965 22.469164
## 623 BE24 345 Extrapolation 0 20.180437 17.739748 22.621125
## 624 BE24 362 Extrapolation 0 20.253331 17.734300 22.772362
## 625 BE24 378 Extrapolation 0 20.311880 17.717336 22.906424
## 626 BE24 394 Extrapolation 0 20.362093 17.690700 23.033485
## 627 BE24 411 Extrapolation 0 20.407634 17.653549 23.161718
## 628 BE24 427 Extrapolation 0 20.444212 17.611690 23.276735
## 629 BE24 443 Extrapolation 0 20.475582 17.564354 23.386810
## 630 BE24 460 Extrapolation 0 20.504034 17.509196 23.498871
## 631 BE24 476 Extrapolation 0 20.526886 17.453622 23.600151
## 632 BE24 493 Extrapolation 0 20.547613 17.391530 23.703695
## 633 BE24 509 Extrapolation 0 20.564260 17.330888 23.797632
## 634 BE24 525 Extrapolation 0 20.578537 17.268658 23.888416
## 635 BE24 542 Extrapolation 0 20.591486 17.201303 23.981669
## 636 BE24 558 Extrapolation 0 20.601886 17.137152 24.066620
## 637 BE24 574 Extrapolation 0 20.610806 17.072598 24.149014
## 638 BE24 591 Extrapolation 0 20.618896 17.003873 24.233919
## 639 BE24 607 Extrapolation 0 20.625393 16.939304 24.311482
## 640 BE24 624 Extrapolation 0 20.631286 16.871042 24.391531
## 641 BE25 1 Rarefaction 0 1.000000 1.000000 1.000000
## 642 BE25 14 Rarefaction 0 8.523522 8.019026 9.028017
## 643 BE25 27 Rarefaction 0 12.536058 11.690925 13.381192
## 644 BE25 40 Rarefaction 0 15.249265 14.098936 16.399594
## 645 BE25 53 Rarefaction 0 17.287512 15.862509 18.712515
## 646 BE25 66 Rarefaction 0 18.925222 17.250154 20.600290
## 647 BE25 79 Rarefaction 0 20.299450 18.392418 22.206481
## 648 BE25 92 Rarefaction 0 21.486615 19.361194 23.612036
## 649 BE25 105 Rarefaction 0 22.533260 20.200255 24.866265
## 650 BE25 118 Rarefaction 0 23.469568 20.938077 26.001059
## 651 BE25 131 Rarefaction 0 24.315982 21.593919 27.038044
## 652 BE25 144 Rarefaction 0 25.086767 22.181071 27.992463
## 653 BE25 157 Rarefaction 0 25.792078 22.708765 28.875392
## 654 BE25 170 Rarefaction 0 26.439213 23.183364 29.695062
## 655 BE25 183 Rarefaction 0 27.033413 23.609154 30.457672
## 656 BE25 196 Rarefaction 0 27.578409 23.988897 31.167921
## 657 BE25 209 Rarefaction 0 28.076819 24.324256 31.829382
## 658 BE25 222 Rarefaction 0 28.530470 24.616133 32.444808
## 659 BE25 236 Rarefaction 0 28.970464 24.882326 33.058602
## 660 BE25 237 Observed 0 29.000000 24.899437 33.100563
## 661 BE25 238 Extrapolation 0 29.029288 24.916294 33.142281
## 662 BE25 250 Extrapolation 0 29.362122 25.099486 33.624758
## 663 BE25 262 Extrapolation 0 29.662902 25.249736 34.076068
## 664 BE25 275 Extrapolation 0 29.956147 25.378973 34.533321
## 665 BE25 287 Extrapolation 0 30.199717 25.470431 34.929004
## 666 BE25 300 Extrapolation 0 30.437187 25.542552 35.331822
## 667 BE25 312 Extrapolation 0 30.634429 25.586879 35.681980
## 668 BE25 324 Extrapolation 0 30.812676 25.612174 36.013178
## 669 BE25 337 Extrapolation 0 30.986458 25.620489 36.352426
## 670 BE25 349 Extrapolation 0 31.130801 25.612553 36.649049
## 671 BE25 362 Extrapolation 0 31.271529 25.589066 36.953992
## 672 BE25 374 Extrapolation 0 31.388418 25.555284 37.221552
## 673 BE25 387 Extrapolation 0 31.502379 25.507223 37.497535
## 674 BE25 399 Extrapolation 0 31.597035 25.453609 37.740461
## 675 BE25 411 Extrapolation 0 31.682576 25.392265 37.972886
## 676 BE25 424 Extrapolation 0 31.765973 25.318248 38.213698
## 677 BE25 436 Extrapolation 0 31.835243 25.243907 38.426579
## 678 BE25 449 Extrapolation 0 31.902778 25.157809 38.647747
## 679 BE25 461 Extrapolation 0 31.958873 25.073967 38.843780
## 680 BE25 474 Extrapolation 0 32.013563 24.979165 39.047960
## 681 BE26 1 Rarefaction 0 1.000000 1.000000 1.000000
## 682 BE26 17 Rarefaction 0 8.294868 7.778335 8.811401
## 683 BE26 34 Rarefaction 0 12.173887 11.314313 13.033461
## 684 BE26 51 Rarefaction 0 14.750614 13.618793 15.882435
## 685 BE26 68 Rarefaction 0 16.650578 15.289579 18.011578
## 686 BE26 85 Rarefaction 0 18.136338 16.576993 19.695682
## 687 BE26 102 Rarefaction 0 19.343970 17.611560 21.076379
## 688 BE26 118 Rarefaction 0 20.298432 18.423604 22.173260
## 689 BE26 135 Rarefaction 0 21.167953 19.161435 23.174472
## 690 BE26 152 Rarefaction 0 21.922608 19.802442 24.042774
## 691 BE26 169 Rarefaction 0 22.586843 20.368694 24.804992
## 692 BE26 186 Rarefaction 0 23.178150 20.875186 25.481115
## 693 BE26 203 Rarefaction 0 23.709207 21.332063 26.086351
## 694 BE26 219 Rarefaction 0 24.162274 21.722795 26.601754
## 695 BE26 236 Rarefaction 0 24.600383 22.100326 27.100440
## 696 BE26 253 Rarefaction 0 24.998639 22.441587 27.555691
## 697 BE26 270 Rarefaction 0 25.360463 22.747850 27.973076
## 698 BE26 287 Rarefaction 0 25.688233 23.019504 28.356962
## 699 BE26 304 Rarefaction 0 25.983607 23.256382 28.710831
## 700 BE26 305 Observed 0 26.000000 23.269225 28.730775
## 701 BE26 306 Extrapolation 0 26.016286 23.281936 28.750636
## 702 BE26 322 Extrapolation 0 26.262853 23.468017 29.057688
## 703 BE26 338 Extrapolation 0 26.484861 23.623061 29.346661
## 704 BE26 354 Extrapolation 0 26.684756 23.749392 29.620120
## 705 BE26 370 Extrapolation 0 26.864742 23.849405 29.880079
## 706 BE26 386 Extrapolation 0 27.026800 23.925495 30.128105
## 707 BE26 402 Extrapolation 0 27.172718 23.980011 30.365425
## 708 BE26 418 Extrapolation 0 27.304101 24.015197 30.593005
## 709 BE26 434 Extrapolation 0 27.422399 24.033170 30.811628
## 710 BE26 450 Extrapolation 0 27.528914 24.035888 31.021939
## 711 BE26 466 Extrapolation 0 27.624819 24.025152 31.224487
## 712 BE26 482 Extrapolation 0 27.711173 24.002593 31.419753
## 713 BE26 498 Extrapolation 0 27.788925 23.969684 31.608166
## 714 BE26 514 Extrapolation 0 27.858933 23.927745 31.790121
## 715 BE26 530 Extrapolation 0 27.921968 23.877956 31.965980
## 716 BE26 546 Extrapolation 0 27.978725 23.821366 32.136084
## 717 BE26 562 Extrapolation 0 28.029829 23.758904 32.300753
## 718 BE26 578 Extrapolation 0 28.075842 23.691397 32.460288
## 719 BE26 594 Extrapolation 0 28.117273 23.619573 32.614972
## 720 BE26 610 Extrapolation 0 28.154577 23.544078 32.765075
## 721 BE27 1 Rarefaction 0 1.000000 1.000000 1.000000
## 722 BE27 18 Rarefaction 0 10.875748 10.299985 11.451510
## 723 BE27 35 Rarefaction 0 15.893033 14.893267 16.892799
## 724 BE27 52 Rarefaction 0 19.289489 17.938577 20.640401
## 725 BE27 69 Rarefaction 0 21.893524 20.231793 23.555254
## 726 BE27 87 Rarefaction 0 24.154244 22.191461 26.117027
## 727 BE27 104 Rarefaction 0 25.985420 23.754955 28.215884
## 728 BE27 121 Rarefaction 0 27.606656 25.118864 30.094449
## 729 BE27 138 Rarefaction 0 29.066564 26.328488 31.804639
## 730 BE27 156 Rarefaction 0 30.470593 27.473058 33.468129
## 731 BE27 173 Rarefaction 0 31.684712 28.446177 34.923248
## 732 BE27 190 Rarefaction 0 32.805831 29.329504 36.282159
## 733 BE27 207 Rarefaction 0 33.846082 30.134673 37.557491
## 734 BE27 224 Rarefaction 0 34.815559 30.871357 38.759761
## 735 BE27 242 Rarefaction 0 35.774585 31.585912 39.963258
## 736 BE27 259 Rarefaction 0 36.624652 32.206473 41.042832
## 737 BE27 276 Rarefaction 0 37.427632 32.780683 42.074581
## 738 BE27 293 Rarefaction 0 38.189723 33.314026 43.065421
## 739 BE27 311 Rarefaction 0 38.958333 33.839501 44.077166
## 740 BE27 312 Observed 0 39.000000 33.867610 44.132390
## 741 BE27 313 Extrapolation 0 39.041564 33.895610 44.187518
## 742 BE27 329 Extrapolation 0 39.692809 34.328974 45.056645
## 743 BE27 345 Extrapolation 0 40.318816 34.735237 45.902395
## 744 BE27 362 Extrapolation 0 40.957387 35.137974 46.776800
## 745 BE27 378 Extrapolation 0 41.534385 35.490605 47.578166
## 746 BE27 394 Extrapolation 0 42.089022 35.818463 48.359581
## 747 BE27 411 Extrapolation 0 42.654791 36.140654 49.168928
## 748 BE27 427 Extrapolation 0 43.166006 36.420246 49.911767
## 749 BE27 443 Extrapolation 0 43.657410 36.677883 50.636938
## 750 BE27 460 Extrapolation 0 44.158677 36.928653 51.388701
## 751 BE27 476 Extrapolation 0 44.611610 37.144082 52.079137
## 752 BE27 493 Extrapolation 0 45.073633 37.352208 52.795059
## 753 BE27 509 Extrapolation 0 45.491107 37.529554 53.452661
## 754 BE27 525 Extrapolation 0 45.892402 37.689880 54.094925
## 755 BE27 542 Extrapolation 0 46.301752 37.842592 54.760911
## 756 BE27 558 Extrapolation 0 46.671630 37.970650 55.372610
## 757 BE27 574 Extrapolation 0 47.027174 38.084373 55.969976
## 758 BE27 591 Extrapolation 0 47.389854 38.190399 56.589310
## 759 BE27 607 Extrapolation 0 47.717564 38.277066 57.158062
## 760 BE27 624 Extrapolation 0 48.051851 38.356044 57.747657
## 761 BE28 1 Rarefaction 0 1.000000 1.000000 1.000000
## 762 BE28 15 Rarefaction 0 9.699114 9.240094 10.158133
## 763 BE28 30 Rarefaction 0 14.392769 13.578356 15.207181
## 764 BE28 45 Rarefaction 0 17.418904 16.352167 18.485642
## 765 BE28 59 Rarefaction 0 19.488162 18.211011 20.765312
## 766 BE28 74 Rarefaction 0 21.213806 19.728979 22.698633
## 767 BE28 89 Rarefaction 0 22.600171 20.927032 24.273309
## 768 BE28 104 Rarefaction 0 23.748697 21.905733 25.591662
## 769 BE28 118 Rarefaction 0 24.662033 22.674760 26.649306
## 770 BE28 133 Rarefaction 0 25.509951 23.379983 27.639919
## 771 BE28 148 Rarefaction 0 26.250541 23.986947 28.514135
## 772 BE28 162 Rarefaction 0 26.863022 24.480398 29.245645
## 773 BE28 177 Rarefaction 0 27.449458 24.943328 29.955588
## 774 BE28 192 Rarefaction 0 27.975553 25.348545 30.602561
## 775 BE28 207 Rarefaction 0 28.451234 25.704923 31.197544
## 776 BE28 221 Rarefaction 0 28.857092 26.000270 31.713914
## 777 BE28 236 Rarefaction 0 29.257896 26.283181 32.232611
## 778 BE28 251 Rarefaction 0 29.629571 26.537217 32.721926
## 779 BE28 266 Rarefaction 0 29.977528 26.767511 33.187545
## 780 BE28 267 Observed 0 30.000000 26.782129 33.217871
## 781 BE28 268 Extrapolation 0 30.022388 26.796662 33.248113
## 782 BE28 282 Extrapolation 0 30.327153 26.991312 33.662995
## 783 BE28 296 Extrapolation 0 30.616322 27.170189 34.062455
## 784 BE28 310 Extrapolation 0 30.890692 27.334270 34.447113
## 785 BE28 324 Extrapolation 0 31.151020 27.484530 34.817510
## 786 BE28 338 Extrapolation 0 31.398026 27.621931 35.174121
## 787 BE28 352 Extrapolation 0 31.632391 27.747406 35.517375
## 788 BE28 366 Extrapolation 0 31.854761 27.861849 35.847673
## 789 BE28 380 Extrapolation 0 32.065752 27.966107 36.165396
## 790 BE28 394 Extrapolation 0 32.265944 28.060974 36.470914
## 791 BE28 408 Extrapolation 0 32.455891 28.147190 36.764593
## 792 BE28 422 Extrapolation 0 32.636118 28.225439 37.046797
## 793 BE28 436 Extrapolation 0 32.807121 28.296355 37.317887
## 794 BE28 450 Extrapolation 0 32.969372 28.360519 37.578226
## 795 BE28 464 Extrapolation 0 33.123321 28.418468 37.828173
## 796 BE28 478 Extrapolation 0 33.269390 28.470692 38.068088
## 797 BE28 492 Extrapolation 0 33.407984 28.517643 38.298325
## 798 BE28 506 Extrapolation 0 33.539485 28.559736 38.519234
## 799 BE28 520 Extrapolation 0 33.664257 28.597352 38.731162
## 800 BE28 534 Extrapolation 0 33.782643 28.630840 38.934446
## 801 BE29 1 Rarefaction 0 1.000000 1.000000 1.000000
## 802 BE29 14 Rarefaction 0 8.453726 7.991573 8.915880
## 803 BE29 27 Rarefaction 0 12.155709 11.408819 12.902599
## 804 BE29 41 Rarefaction 0 14.623942 13.631789 15.616094
## 805 BE29 54 Rarefaction 0 16.162181 14.978560 17.345802
## 806 BE29 67 Rarefaction 0 17.277251 15.936859 18.617643
## 807 BE29 81 Rarefaction 0 18.184816 16.706829 19.662802
## 808 BE29 94 Rarefaction 0 18.848821 17.264196 20.433447
## 809 BE29 108 Rarefaction 0 19.431024 17.747485 21.114563
## 810 BE29 121 Rarefaction 0 19.880895 18.115969 21.645820
## 811 BE29 134 Rarefaction 0 20.263635 18.424497 22.102773
## 812 BE29 148 Rarefaction 0 20.616017 18.702616 22.529417
## 813 BE29 161 Rarefaction 0 20.897785 18.918941 22.876629
## 814 BE29 175 Rarefaction 0 21.160429 19.113281 23.207577
## 815 BE29 188 Rarefaction 0 21.371946 19.262119 23.481773
## 816 BE29 201 Rarefaction 0 21.556356 19.383492 23.729220
## 817 BE29 215 Rarefaction 0 21.728161 19.485952 23.970370
## 818 BE29 228 Rarefaction 0 21.865443 19.556619 24.174268
## 819 BE29 242 Rarefaction 0 21.991770 19.607952 24.375588
## 820 BE29 243 Observed 0 22.000000 19.610674 24.389326
## 821 BE29 244 Extrapolation 0 22.008130 19.612988 24.403272
## 822 BE29 256 Extrapolation 0 22.098259 19.631693 24.564826
## 823 BE29 269 Extrapolation 0 22.181976 19.635211 24.728742
## 824 BE29 282 Extrapolation 0 22.253303 19.624129 24.882477
## 825 BE29 294 Extrapolation 0 22.309737 19.603051 25.016424
## 826 BE29 307 Extrapolation 0 22.362156 19.570400 25.153912
## 827 BE29 320 Extrapolation 0 22.406817 19.529256 25.284378
## 828 BE29 333 Extrapolation 0 22.444868 19.481119 25.408617
## 829 BE29 345 Extrapolation 0 22.474974 19.431589 25.518360
## 830 BE29 358 Extrapolation 0 22.502938 19.373434 25.632443
## 831 BE29 371 Extrapolation 0 22.526764 19.311513 25.742014
## 832 BE29 384 Extrapolation 0 22.547063 19.246624 25.847502
## 833 BE29 396 Extrapolation 0 22.563124 19.184678 25.941569
## 834 BE29 409 Extrapolation 0 22.578042 19.115892 26.040191
## 835 BE29 422 Extrapolation 0 22.590752 19.045840 26.135664
## 836 BE29 435 Extrapolation 0 22.601581 18.974937 26.228226
## 837 BE29 447 Extrapolation 0 22.610149 18.909037 26.311262
## 838 BE29 460 Extrapolation 0 22.618108 18.837436 26.398779
## 839 BE29 473 Extrapolation 0 22.624888 18.765861 26.483915
## 840 BE29 486 Extrapolation 0 22.630665 18.694523 26.566808
## 841 BE3 1 Rarefaction 0 1.000000 1.000000 1.000000
## 842 BE3 17 Rarefaction 0 12.399461 12.009877 12.789044
## 843 BE3 33 Rarefaction 0 18.989242 18.157177 19.821306
## 844 BE3 49 Rarefaction 0 23.367750 22.201967 24.533532
## 845 BE3 65 Rarefaction 0 26.515115 25.087933 27.942297
## 846 BE3 82 Rarefaction 0 29.013965 27.359771 30.668158
## 847 BE3 98 Rarefaction 0 30.833874 29.001563 32.666185
## 848 BE3 114 Rarefaction 0 32.297183 30.314130 34.280237
## 849 BE3 130 Rarefaction 0 33.506064 31.393661 35.618467
## 850 BE3 147 Rarefaction 0 34.588193 32.355415 36.820971
## 851 BE3 163 Rarefaction 0 35.464880 33.129298 37.800462
## 852 BE3 179 Rarefaction 0 36.236232 33.803241 38.669223
## 853 BE3 195 Rarefaction 0 36.924028 34.395037 39.453019
## 854 BE3 211 Rarefaction 0 37.543707 34.916835 40.170578
## 855 BE3 228 Rarefaction 0 38.139947 35.404098 40.875795
## 856 BE3 244 Rarefaction 0 38.651286 35.806114 41.496458
## 857 BE3 260 Rarefaction 0 39.120701 36.158251 42.083151
## 858 BE3 276 Rarefaction 0 39.553061 36.464528 42.641595
## 859 BE3 293 Rarefaction 0 39.976190 36.743578 43.208803
## 860 BE3 294 Observed 0 40.000000 36.758583 43.241417
## 861 BE3 295 Extrapolation 0 40.023694 36.773437 43.273951
## 862 BE3 310 Extrapolation 0 40.365616 36.978450 43.752782
## 863 BE3 325 Extrapolation 0 40.683480 37.151822 44.215139
## 864 BE3 341 Extrapolation 0 40.997924 37.304846 44.691001
## 865 BE3 356 Extrapolation 0 41.271299 37.421173 45.121426
## 866 BE3 372 Extrapolation 0 41.541733 37.519184 45.564282
## 867 BE3 387 Extrapolation 0 41.776846 37.589075 45.964618
## 868 BE3 402 Extrapolation 0 41.995417 37.639854 46.350980
## 869 BE3 418 Extrapolation 0 42.211636 37.675137 46.748135
## 870 BE3 433 Extrapolation 0 42.399615 37.692371 47.106859
## 871 BE3 449 Extrapolation 0 42.585572 37.695687 47.475456
## 872 BE3 464 Extrapolation 0 42.747241 37.686188 47.808294
## 873 BE3 480 Extrapolation 0 42.907170 37.664103 48.150238
## 874 BE3 495 Extrapolation 0 43.046212 37.633427 48.458998
## 875 BE3 510 Extrapolation 0 43.175471 37.594183 48.756760
## 876 BE3 526 Extrapolation 0 43.303339 37.543953 49.062726
## 877 BE3 541 Extrapolation 0 43.414507 37.489926 49.339087
## 878 BE3 557 Extrapolation 0 43.524478 37.425795 49.623161
## 879 BE3 572 Extrapolation 0 43.620086 37.360318 49.879855
## 880 BE3 588 Extrapolation 0 43.714666 37.285495 50.143837
## 881 BE30 1 Rarefaction 0 1.000000 1.000000 1.000000
## 882 BE30 15 Rarefaction 0 8.070304 7.483375 8.657233
## 883 BE30 30 Rarefaction 0 11.723175 10.701709 12.744641
## 884 BE30 45 Rarefaction 0 14.106032 12.682459 15.529606
## 885 BE30 59 Rarefaction 0 15.756410 13.972433 17.540388
## 886 BE30 74 Rarefaction 0 17.183199 15.030515 19.335882
## 887 BE30 89 Rarefaction 0 18.399835 15.898030 20.901641
## 888 BE30 103 Rarefaction 0 19.415610 16.606102 22.225118
## 889 BE30 118 Rarefaction 0 20.417180 17.296972 23.537387
## 890 BE30 133 Rarefaction 0 21.353511 17.941081 24.765942
## 891 BE30 147 Rarefaction 0 22.181532 18.511676 25.851388
## 892 BE30 162 Rarefaction 0 23.027747 19.096941 26.958553
## 893 BE30 177 Rarefaction 0 23.836757 19.658827 28.014686
## 894 BE30 191 Rarefaction 0 24.561220 20.163826 28.958614
## 895 BE30 206 Rarefaction 0 25.306752 20.684945 29.928559
## 896 BE30 221 Rarefaction 0 26.022146 21.185836 30.858456
## 897 BE30 235 Rarefaction 0 26.663821 21.635246 31.692395
## 898 BE30 250 Rarefaction 0 27.324546 22.097433 32.551660
## 899 BE30 265 Rarefaction 0 27.958647 22.539622 33.377672
## 900 BE30 266 Observed 0 28.000000 22.568388 33.431612
## 901 BE30 267 Extrapolation 0 28.041240 22.597066 33.485414
## 902 BE30 280 Extrapolation 0 28.567203 22.961757 34.172650
## 903 BE30 294 Extrapolation 0 29.113055 23.337661 34.888450
## 904 BE30 308 Extrapolation 0 29.638360 23.696142 35.580579
## 905 BE30 322 Extrapolation 0 30.143891 24.037267 36.250516
## 906 BE30 336 Extrapolation 0 30.630393 24.361138 36.899648
## 907 BE30 350 Extrapolation 0 31.098582 24.667895 37.529269
## 908 BE30 364 Extrapolation 0 31.549146 24.957718 38.140575
## 909 BE30 378 Extrapolation 0 31.982751 25.230828 38.734673
## 910 BE30 392 Extrapolation 0 32.400033 25.487486 39.312579
## 911 BE30 406 Extrapolation 0 32.801608 25.727987 39.875228
## 912 BE30 420 Extrapolation 0 33.188066 25.952659 40.423473
## 913 BE30 434 Extrapolation 0 33.559977 26.161859 40.958095
## 914 BE30 448 Extrapolation 0 33.917889 26.355969 41.479808
## 915 BE30 462 Extrapolation 0 34.262327 26.535393 41.989262
## 916 BE30 476 Extrapolation 0 34.593801 26.700551 42.487051
## 917 BE30 490 Extrapolation 0 34.912796 26.851876 42.973716
## 918 BE30 504 Extrapolation 0 35.219784 26.989815 43.449754
## 919 BE30 518 Extrapolation 0 35.515216 27.114817 43.915615
## 920 BE30 532 Extrapolation 0 35.799528 27.227339 44.371716
## 921 BE4 1 Rarefaction 0 1.000000 1.000000 1.000000
## 922 BE4 23 Rarefaction 0 13.387594 12.839014 13.936174
## 923 BE4 46 Rarefaction 0 18.785704 17.847028 19.724379
## 924 BE4 69 Rarefaction 0 21.872317 20.674775 23.069860
## 925 BE4 92 Rarefaction 0 23.916708 22.493516 25.339899
## 926 BE4 115 Rarefaction 0 25.384883 23.745587 27.024178
## 927 BE4 138 Rarefaction 0 26.498154 24.648350 28.347957
## 928 BE4 161 Rarefaction 0 27.377436 25.321901 29.432971
## 929 BE4 184 Rarefaction 0 28.095194 25.837389 30.353000
## 930 BE4 207 Rarefaction 0 28.697752 26.239343 31.156161
## 931 BE4 230 Rarefaction 0 29.216086 26.557006 31.875165
## 932 BE4 253 Rarefaction 0 29.671586 26.810402 32.532770
## 933 BE4 276 Rarefaction 0 30.079407 27.013747 33.145067
## 934 BE4 299 Rarefaction 0 30.450540 27.177462 33.723617
## 935 BE4 322 Rarefaction 0 30.793173 27.309437 34.276909
## 936 BE4 345 Rarefaction 0 31.113604 27.415850 34.811359
## 937 BE4 368 Rarefaction 0 31.416859 27.501729 35.331989
## 938 BE4 391 Rarefaction 0 31.707107 27.571329 35.842886
## 939 BE4 414 Rarefaction 0 31.987952 27.628394 36.347509
## 940 BE4 415 Observed 0 32.000000 27.630645 36.369355
## 941 BE4 416 Extrapolation 0 32.012037 27.632877 36.391196
## 942 BE4 437 Extrapolation 0 32.262138 27.675691 36.848585
## 943 BE4 459 Extrapolation 0 32.518765 27.712402 37.325128
## 944 BE4 481 Extrapolation 0 32.769997 27.741117 37.798878
## 945 BE4 503 Extrapolation 0 33.015949 27.762210 38.269687
## 946 BE4 524 Extrapolation 0 33.245895 27.775603 38.716188
## 947 BE4 546 Extrapolation 0 33.481842 27.782972 39.180712
## 948 BE4 568 Extrapolation 0 33.712829 27.783938 39.641721
## 949 BE4 590 Extrapolation 0 33.938960 27.778913 40.099008
## 950 BE4 612 Extrapolation 0 34.160338 27.768302 40.552374
## 951 BE4 633 Extrapolation 0 34.367310 27.753317 40.981304
## 952 BE4 655 Extrapolation 0 34.579683 27.732888 41.426479
## 953 BE4 677 Extrapolation 0 34.787592 27.707961 41.867223
## 954 BE4 699 Extrapolation 0 34.991130 27.678866 42.303394
## 955 BE4 721 Extrapolation 0 35.190389 27.645910 42.734868
## 956 BE4 742 Extrapolation 0 35.376682 27.611116 43.142248
## 957 BE4 764 Extrapolation 0 35.567836 27.571427 43.564246
## 958 BE4 786 Extrapolation 0 35.754972 27.528671 43.981273
## 959 BE4 808 Extrapolation 0 35.938174 27.483080 44.393268
## 960 BE4 830 Extrapolation 0 36.117525 27.434869 44.800181
## 961 BE5 1 Rarefaction 0 1.000000 1.000000 1.000000
## 962 BE5 11 Rarefaction 0 4.931670 4.305368 5.557973
## 963 BE5 22 Rarefaction 0 7.721929 6.832350 8.611508
## 964 BE5 33 Rarefaction 0 9.731952 8.721264 10.742640
## 965 BE5 44 Rarefaction 0 11.206000 10.119684 12.292316
## 966 BE5 55 Rarefaction 0 12.308909 11.155235 13.462584
## 967 BE5 66 Rarefaction 0 13.152248 11.928132 14.376364
## 968 BE5 77 Rarefaction 0 13.812089 12.512661 15.111518
## 969 BE5 88 Rarefaction 0 14.340881 12.962156 15.719605
## 970 BE5 99 Rarefaction 0 14.775257 13.314431 16.236083
## 971 BE5 110 Rarefaction 0 15.141114 13.596256 16.685972
## 972 BE5 121 Rarefaction 0 15.456892 13.826619 17.087166
## 973 BE5 132 Rarefaction 0 15.735721 14.018977 17.452465
## 974 BE5 143 Rarefaction 0 15.986848 14.182781 17.790916
## 975 BE5 154 Rarefaction 0 16.216635 14.324523 18.108748
## 976 BE5 165 Rarefaction 0 16.429282 14.448480 18.410084
## 977 BE5 176 Rarefaction 0 16.627387 14.557259 18.697515
## 978 BE5 187 Rarefaction 0 16.812386 14.652213 18.972560
## 979 BE5 198 Rarefaction 0 16.984925 14.733778 19.236071
## 980 BE5 199 Observed 0 17.000000 14.740527 19.259473
## 981 BE5 200 Extrapolation 0 17.014975 14.747184 19.282765
## 982 BE5 210 Extrapolation 0 17.159320 14.808842 19.509798
## 983 BE5 220 Extrapolation 0 17.294296 14.861740 19.726851
## 984 BE5 231 Extrapolation 0 17.432672 14.910205 19.955138
## 985 BE5 241 Extrapolation 0 17.549904 14.945854 20.153953
## 986 BE5 252 Extrapolation 0 17.670089 14.976367 20.363811
## 987 BE5 262 Extrapolation 0 17.771910 14.996712 20.547108
## 988 BE5 272 Extrapolation 0 17.867121 15.010522 20.723721
## 989 BE5 283 Extrapolation 0 17.964731 15.018747 20.910715
## 990 BE5 293 Extrapolation 0 18.047426 15.020414 21.074439
## 991 BE5 304 Extrapolation 0 18.132205 15.016423 21.247987
## 992 BE5 314 Extrapolation 0 18.204029 15.007977 21.400081
## 993 BE5 325 Extrapolation 0 18.277662 14.993898 21.561426
## 994 BE5 335 Extrapolation 0 18.340044 14.977168 21.702920
## 995 BE5 345 Extrapolation 0 18.398377 14.957068 21.839686
## 996 BE5 356 Extrapolation 0 18.458180 14.931467 21.984892
## 997 BE5 366 Extrapolation 0 18.508844 14.905357 22.112331
## 998 BE5 377 Extrapolation 0 18.560785 14.873869 22.247701
## 999 BE5 387 Extrapolation 0 18.604789 14.843014 22.366564
## 1000 BE5 398 Extrapolation 0 18.649902 14.806920 22.492884
## 1001 BE6 1 Rarefaction 0 1.000000 1.000000 1.000000
## 1002 BE6 12 Rarefaction 0 6.975703 6.430648 7.520758
## 1003 BE6 23 Rarefaction 0 10.431183 9.523825 11.338542
## 1004 BE6 35 Rarefaction 0 13.070098 11.804904 14.335293
## 1005 BE6 46 Rarefaction 0 14.898257 13.318051 16.478464
## 1006 BE6 58 Rarefaction 0 16.496117 14.582582 18.409651
## 1007 BE6 69 Rarefaction 0 17.717360 15.509655 19.925065
## 1008 BE6 81 Rarefaction 0 18.863366 16.350038 21.376694
## 1009 BE6 92 Rarefaction 0 19.787112 17.009280 22.564944
## 1010 BE6 104 Rarefaction 0 20.688741 17.640025 23.737456
## 1011 BE6 115 Rarefaction 0 21.437318 18.156130 24.718506
## 1012 BE6 126 Rarefaction 0 22.124425 18.624991 25.623859
## 1013 BE6 138 Rarefaction 0 22.814778 19.091996 26.537561
## 1014 BE6 149 Rarefaction 0 23.401033 19.485441 27.316626
## 1015 BE6 161 Rarefaction 0 23.996785 19.881979 28.111590
## 1016 BE6 172 Rarefaction 0 24.508027 20.219125 28.796928
## 1017 BE6 184 Rarefaction 0 25.032957 20.561606 29.504308
## 1018 BE6 195 Rarefaction 0 25.488356 20.855098 30.121614
## 1019 BE6 207 Rarefaction 0 25.961538 21.155929 30.767148
## 1020 BE6 208 Observed 0 26.000000 21.180183 30.819817
## 1021 BE6 209 Extrapolation 0 26.038323 21.204310 30.872336
## 1022 BE6 219 Extrapolation 0 26.414022 21.438730 31.389315
## 1023 BE6 230 Extrapolation 0 26.811897 21.682747 31.941046
## 1024 BE6 241 Extrapolation 0 27.194253 21.912836 32.475671
## 1025 BE6 252 Extrapolation 0 27.561697 22.129425 32.993969
## 1026 BE6 263 Extrapolation 0 27.914810 22.332884 33.496735
## 1027 BE6 274 Extrapolation 0 28.254150 22.523569 33.984732
## 1028 BE6 285 Extrapolation 0 28.580256 22.701845 34.458666
## 1029 BE6 296 Extrapolation 0 28.893643 22.868098 34.919188
## 1030 BE6 307 Extrapolation 0 29.194807 23.022727 35.366886
## 1031 BE6 317 Extrapolation 0 29.458387 23.153563 35.763212
## 1032 BE6 328 Extrapolation 0 29.737525 23.287165 36.187885
## 1033 BE6 339 Extrapolation 0 30.005776 23.410379 36.601173
## 1034 BE6 350 Extrapolation 0 30.263565 23.523638 37.003492
## 1035 BE6 361 Extrapolation 0 30.511299 23.627376 37.395222
## 1036 BE6 372 Extrapolation 0 30.749371 23.722023 37.776719
## 1037 BE6 383 Extrapolation 0 30.978158 23.808003 38.148312
## 1038 BE6 394 Extrapolation 0 31.198021 23.885731 38.510312
## 1039 BE6 405 Extrapolation 0 31.409310 23.955610 38.863010
## 1040 BE6 416 Extrapolation 0 31.612358 24.018035 39.206680
## 1041 BE7 1 Rarefaction 0 1.000000 1.000000 1.000000
## 1042 BE7 30 Rarefaction 0 9.448944 8.811093 10.086796
## 1043 BE7 60 Rarefaction 0 13.036941 11.952240 14.121641
## 1044 BE7 90 Rarefaction 0 15.324703 13.898316 16.751090
## 1045 BE7 120 Rarefaction 0 17.052653 15.354276 18.751030
## 1046 BE7 150 Rarefaction 0 18.462129 16.534658 20.389601
## 1047 BE7 180 Rarefaction 0 19.662846 17.536882 21.788810
## 1048 BE7 210 Rarefaction 0 20.716161 18.416041 23.016282
## 1049 BE7 240 Rarefaction 0 21.660099 19.205568 24.114630
## 1050 BE7 270 Rarefaction 0 22.519277 19.925977 25.112577
## 1051 BE7 299 Rarefaction 0 23.284602 20.568540 26.000664
## 1052 BE7 329 Rarefaction 0 24.019588 21.185201 26.853975
## 1053 BE7 359 Rarefaction 0 24.704430 21.757958 27.650902
## 1054 BE7 389 Rarefaction 0 25.344558 22.290198 28.398918
## 1055 BE7 419 Rarefaction 0 25.943950 22.784337 29.103563
## 1056 BE7 449 Rarefaction 0 26.505614 23.242187 29.769040
## 1057 BE7 479 Rarefaction 0 27.031879 23.665120 30.398637
## 1058 BE7 509 Rarefaction 0 27.524583 24.054126 30.995040
## 1059 BE7 539 Rarefaction 0 27.985185 24.409815 31.560556
## 1060 BE7 540 Observed 0 28.000000 24.421101 31.578899
## 1061 BE7 541 Extrapolation 0 28.014781 24.432349 31.597212
## 1062 BE7 569 Extrapolation 0 28.415036 24.732399 32.097672
## 1063 BE7 597 Extrapolation 0 28.790155 25.004204 32.576106
## 1064 BE7 626 Extrapolation 0 29.153854 25.256848 33.050861
## 1065 BE7 654 Extrapolation 0 29.482575 25.473842 33.491307
## 1066 BE7 682 Extrapolation 0 29.790651 25.665353 33.915948
## 1067 BE7 711 Extrapolation 0 30.089348 25.837947 34.340750
## 1068 BE7 739 Extrapolation 0 30.359318 25.980846 34.737791
## 1069 BE7 767 Extrapolation 0 30.612334 26.101567 35.123100
## 1070 BE7 796 Extrapolation 0 30.857647 26.204464 35.510831
## 1071 BE7 824 Extrapolation 0 31.079367 26.283651 35.875083
## 1072 BE7 853 Extrapolation 0 31.294337 26.346056 36.242619
## 1073 BE7 881 Extrapolation 0 31.488633 26.388572 36.588694
## 1074 BE7 909 Extrapolation 0 31.670726 26.414813 36.926639
## 1075 BE7 938 Extrapolation 0 31.847276 26.426012 37.268539
## 1076 BE7 966 Extrapolation 0 32.006846 26.422495 37.591197
## 1077 BE7 994 Extrapolation 0 32.156394 26.405929 37.906860
## 1078 BE7 1023 Extrapolation 0 32.301391 26.376054 38.226728
## 1079 BE7 1051 Extrapolation 0 32.432442 26.335877 38.529006
## 1080 BE7 1080 Extrapolation 0 32.559503 26.283470 38.835536
## 1081 BE8 1 Rarefaction 0 1.000000 1.000000 1.000000
## 1082 BE8 13 Rarefaction 0 7.833924 7.240159 8.427689
## 1083 BE8 25 Rarefaction 0 11.798526 10.799139 12.797913
## 1084 BE8 37 Rarefaction 0 14.514179 13.202146 15.826212
## 1085 BE8 49 Rarefaction 0 16.470219 14.918255 18.022183
## 1086 BE8 61 Rarefaction 0 17.932717 16.194773 19.670660
## 1087 BE8 73 Rarefaction 0 19.059251 17.173143 20.945359
## 1088 BE8 85 Rarefaction 0 19.948935 17.940264 21.957606
## 1089 BE8 97 Rarefaction 0 20.667021 18.552791 22.781251
## 1090 BE8 109 Rarefaction 0 21.257979 19.049365 23.466592
## 1091 BE8 121 Rarefaction 0 21.752904 19.457152 24.048655
## 1092 BE8 133 Rarefaction 0 22.173931 19.795569 24.552294
## 1093 BE8 145 Rarefaction 0 22.537003 20.078585 24.995422
## 1094 BE8 157 Rarefaction 0 22.853691 20.316252 25.391130
## 1095 BE8 169 Rarefaction 0 23.132453 20.515789 25.749118
## 1096 BE8 181 Rarefaction 0 23.379539 20.682383 26.076695
## 1097 BE8 193 Rarefaction 0 23.599636 20.819775 26.379496
## 1098 BE8 205 Rarefaction 0 23.796339 20.930674 26.662004
## 1099 BE8 218 Rarefaction 0 23.986301 21.023174 26.949428
## 1100 BE8 219 Observed 0 24.000000 21.029150 26.970850
## 1101 BE8 220 Extrapolation 0 24.013574 21.034978 26.992170
## 1102 BE8 231 Extrapolation 0 24.154987 21.089324 27.220650
## 1103 BE8 242 Extrapolation 0 24.282883 21.125997 27.439770
## 1104 BE8 254 Extrapolation 0 24.408507 21.146728 27.670286
## 1105 BE8 265 Extrapolation 0 24.512173 21.149263 27.875084
## 1106 BE8 277 Extrapolation 0 24.613997 21.135647 28.092347
## 1107 BE8 288 Extrapolation 0 24.698023 21.109642 28.286404
## 1108 BE8 300 Extrapolation 0 24.780556 21.068183 28.492929
## 1109 BE8 311 Extrapolation 0 24.848663 21.019595 28.677732
## 1110 BE8 323 Extrapolation 0 24.915560 20.956523 28.874597
## 1111 BE8 334 Extrapolation 0 24.970764 20.890688 29.050840
## 1112 BE8 346 Extrapolation 0 25.024987 20.811347 29.238627
## 1113 BE8 357 Extrapolation 0 25.069732 20.732703 29.406761
## 1114 BE8 369 Extrapolation 0 25.113682 20.641440 29.585925
## 1115 BE8 380 Extrapolation 0 25.149951 20.553543 29.746358
## 1116 BE8 392 Extrapolation 0 25.185574 20.453803 29.917346
## 1117 BE8 403 Extrapolation 0 25.214971 20.359448 30.070494
## 1118 BE8 415 Extrapolation 0 25.243846 20.253925 30.233766
## 1119 BE8 426 Extrapolation 0 25.267673 20.155291 30.380056
## 1120 BE8 438 Extrapolation 0 25.291078 20.046076 30.536079
## 1121 BE9 1 Rarefaction 0 1.000000 1.000000 1.000000
## 1122 BE9 18 Rarefaction 0 11.347815 10.902395 11.793236
## 1123 BE9 35 Rarefaction 0 16.420869 15.557463 17.284276
## 1124 BE9 52 Rarefaction 0 19.580958 18.350725 20.811191
## 1125 BE9 69 Rarefaction 0 21.812284 20.263351 23.361216
## 1126 BE9 86 Rarefaction 0 23.518079 21.682017 25.354140
## 1127 BE9 103 Rarefaction 0 24.890987 22.784058 26.997916
## 1128 BE9 120 Rarefaction 0 26.034800 23.664729 28.404872
## 1129 BE9 137 Rarefaction 0 27.011773 24.383082 29.640465
## 1130 BE9 155 Rarefaction 0 27.909687 25.011559 30.807815
## 1131 BE9 172 Rarefaction 0 28.658911 25.510915 31.806908
## 1132 BE9 189 Rarefaction 0 29.333755 25.940843 32.726667
## 1133 BE9 206 Rarefaction 0 29.950244 26.317624 33.582864
## 1134 BE9 223 Rarefaction 0 30.520680 26.653574 34.387787
## 1135 BE9 240 Rarefaction 0 31.054533 26.957988 35.151078
## 1136 BE9 257 Rarefaction 0 31.559108 27.237855 35.880362
## 1137 BE9 274 Rarefaction 0 32.040079 27.498418 36.581740
## 1138 BE9 291 Rarefaction 0 32.501933 27.743627 37.260240
## 1139 BE9 309 Rarefaction 0 32.974194 27.989875 37.958512
## 1140 BE9 310 Observed 0 33.000000 28.003210 37.996790
## 1141 BE9 311 Extrapolation 0 33.025765 28.016508 38.035022
## 1142 BE9 327 Extrapolation 0 33.432386 28.224289 38.640482
## 1143 BE9 343 Extrapolation 0 33.828623 28.422633 39.234612
## 1144 BE9 359 Extrapolation 0 34.214741 28.611526 39.817956
## 1145 BE9 376 Extrapolation 0 34.614193 28.801927 40.426459
## 1146 BE9 392 Extrapolation 0 34.980249 28.971560 40.988939
## 1147 BE9 408 Extrapolation 0 35.336958 29.132092 41.541824
## 1148 BE9 424 Extrapolation 0 35.684557 29.283741 42.085373
## 1149 BE9 441 Extrapolation 0 36.044160 29.435421 42.652900
## 1150 BE9 457 Extrapolation 0 36.373700 29.569581 43.177818
## 1151 BE9 473 Extrapolation 0 36.694823 29.695713 43.693934
## 1152 BE9 489 Extrapolation 0 37.007746 29.814127 44.201366
## 1153 BE9 506 Extrapolation 0 37.331476 29.931841 44.731110
## 1154 BE9 522 Extrapolation 0 37.628140 30.035343 45.220937
## 1155 BE9 538 Extrapolation 0 37.917229 30.132101 45.702357
## 1156 BE9 554 Extrapolation 0 38.198935 30.222425 46.175445
## 1157 BE9 571 Extrapolation 0 38.490369 30.311683 46.669055
## 1158 BE9 587 Extrapolation 0 38.757439 30.389685 47.125193
## 1159 BE9 603 Extrapolation 0 39.017688 30.462151 47.573226
## 1160 BE9 620 Extrapolation 0 39.286925 30.533384 48.040466
## SC SC.LCL SC.UCL
## 1 0.39408233 0.33059422 0.45757045
## 2 0.81624211 0.79306604 0.83941819
## 3 0.89466850 0.87497018 0.91436682
## 4 0.92783458 0.90990838 0.94576078
## 5 0.94612194 0.93014347 0.96210042
## 6 0.95625438 0.94202918 0.97047958
## 7 0.96206318 0.94915768 0.97496868
## 8 0.96623309 0.95439188 0.97807430
## 9 0.96906748 0.95794195 0.98019300
## 10 0.97146996 0.96087643 0.98206349
## 11 0.97349012 0.96323582 0.98374442
## 12 0.97516349 0.96508300 0.98524398
## 13 0.97680512 0.96678265 0.98682759
## 14 0.97823491 0.96816697 0.98830286
## 15 0.97968357 0.96948150 0.98988564
## 16 0.98106612 0.97066251 0.99146974
## 17 0.98231255 0.97167665 0.99294845
## 18 0.98361695 0.97269876 0.99453513
## 19 0.98490566 0.97367998 0.99613134
## 20 0.98499094 0.97375548 0.99622640
## 21 0.98507574 0.97383084 0.99632063
## 22 0.98613547 0.97479922 0.99747172
## 23 0.98719272 0.97581888 0.99856656
## 24 0.98816936 0.97681132 0.99952739
## 25 0.98907151 0.97777204 1.00000000
## 26 0.98990488 0.97869723 1.00000000
## 27 0.99067469 0.97958429 1.00000000
## 28 0.99138580 0.98043177 1.00000000
## 29 0.99204269 0.98123922 1.00000000
## 30 0.99264948 0.98200688 1.00000000
## 31 0.99317142 0.98268479 1.00000000
## 32 0.99369214 0.98337834 1.00000000
## 33 0.99417315 0.98403542 1.00000000
## 34 0.99461749 0.98465762 1.00000000
## 35 0.99502793 0.98524661 1.00000000
## 36 0.99540708 0.98580409 1.00000000
## 37 0.99575732 0.98633177 1.00000000
## 38 0.99608085 0.98683133 1.00000000
## 39 0.99637971 0.98730440 1.00000000
## 40 0.99665578 0.98775255 1.00000000
## 41 0.11437151 0.08943458 0.13930843
## 42 0.71404958 0.68962814 0.73847102
## 43 0.83540700 0.81740737 0.85340662
## 44 0.89049748 0.87693651 0.90405846
## 45 0.91979580 0.90864825 0.93094335
## 46 0.93844882 0.92857470 0.94832295
## 47 0.95154502 0.94231842 0.96077163
## 48 0.96032455 0.95139079 0.96925830
## 49 0.96693307 0.95814690 0.97571923
## 50 0.97160537 0.96288851 0.98032222
## 51 0.97513590 0.96644899 0.98382281
## 52 0.97793683 0.96925094 0.98662271
## 53 0.97999182 0.97128178 0.98870186
## 54 0.98164233 0.97288257 0.99040210
## 55 0.98286542 0.97403540 0.99169543
## 56 0.98382524 0.97490287 0.99274761
## 57 0.98462189 0.97557767 0.99366610
## 58 0.98524932 0.97605947 0.99443918
## 59 0.98581560 0.97643538 0.99519583
## 60 0.98583798 0.97644972 0.99522623
## 61 0.98586031 0.97646406 0.99525657
## 62 0.98634292 0.97677970 0.99590615
## 63 0.98680906 0.97709970 0.99651842
## 64 0.98725929 0.97742637 0.99709221
## 65 0.98769415 0.97775961 0.99762869
## 66 0.98813292 0.97811394 0.99815190
## 67 0.98853796 0.97845721 0.99861871
## 68 0.98892918 0.97880346 0.99905489
## 69 0.98930704 0.97915153 0.99946256
## 70 0.98967201 0.97950040 0.99984362
## 71 0.99004026 0.97986503 1.00000000
## 72 0.99038020 0.98021292 1.00000000
## 73 0.99070854 0.98055926 1.00000000
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## 878 0.99340682 0.98038458 1.00000000
## 879 0.99387071 0.98109341 1.00000000
## 880 0.99432961 0.98181192 1.00000000
## 881 0.13675699 0.10713875 0.16637523
## 882 0.69084742 0.65409777 0.72759707
## 883 0.81206001 0.77937215 0.84474786
## 884 0.86776594 0.83736857 0.89816330
## 885 0.89591358 0.86738277 0.92444439
## 886 0.91348927 0.88678572 0.94019282
## 887 0.92418871 0.89915732 0.94922010
## 888 0.93076971 0.90714443 0.95439498
## 889 0.93575362 0.91345821 0.95804903
## 890 0.93949814 0.91835205 0.96064423
## 891 0.94233594 0.92211123 0.96256064
## 892 0.94495353 0.92557189 0.96433517
## 893 0.94729956 0.92863131 0.96596781
## 894 0.94932979 0.93122529 0.96743430
## 895 0.95138528 0.93378641 0.96898415
## 896 0.95334522 0.93615548 0.97053496
## 897 0.95510128 0.93820568 0.97199689
## 898 0.95691039 0.94023000 0.97359078
## 899 0.95864662 0.94206739 0.97522584
## 900 0.95875980 0.94218388 0.97533572
## 901 0.95887267 0.94229968 0.97544566
## 902 0.96031218 0.94374603 0.97687833
## 903 0.96180613 0.94519392 0.97841835
## 904 0.96324385 0.94654540 0.97994230
## 905 0.96462744 0.94781545 0.98143944
## 906 0.96595896 0.94901644 0.98290148
## 907 0.96724035 0.95015846 0.98432224
## 908 0.96847351 0.95124972 0.98569729
## 909 0.96966024 0.95229685 0.98702364
## 910 0.97080231 0.95330517 0.98829945
## 911 0.97190138 0.95427897 0.98952380
## 912 0.97295909 0.95522171 0.99069647
## 913 0.97397698 0.95613618 0.99181778
## 914 0.97495655 0.95702464 0.99288846
## 915 0.97589925 0.95788893 0.99390957
## 916 0.97680646 0.95873057 0.99488236
## 917 0.97767953 0.95955080 0.99580825
## 918 0.97851973 0.96035068 0.99668878
## 919 0.97932830 0.96113107 0.99752552
## 920 0.98010643 0.96189275 0.99832012
## 921 0.06215005 0.05459499 0.06970511
## 922 0.67668557 0.65211430 0.70125685
## 923 0.83245344 0.81479443 0.85011245
## 924 0.89425700 0.87902590 0.90948811
## 925 0.92632696 0.91258603 0.94006790
## 926 0.94533766 0.93273347 0.95794184
## 927 0.95755552 0.94578098 0.96933005
## 928 0.96584105 0.95459424 0.97708786
## 929 0.97167392 0.96070892 0.98263892
## 930 0.97589497 0.96504450 0.98674544
## 931 0.97901707 0.96818133 0.98985282
## 932 0.98136907 0.97049298 0.99224516
## 933 0.98316847 0.97222182 0.99411513
## 934 0.98456145 0.97352599 0.99559691
## 935 0.98564665 0.97450928 0.99678403
## 936 0.98649055 0.97524033 0.99774077
## 937 0.98713778 0.97576491 0.99851065
## 938 0.98761825 0.97611366 0.99912285
## 939 0.98795181 0.97630648 0.99959714
## 940 0.98796344 0.97631133 0.99961554
## 941 0.98797506 0.97631621 0.99963390
## 942 0.98821647 0.97642524 1.00000000
## 943 0.98846418 0.97655552 1.00000000
## 944 0.98870668 0.97670389 1.00000000
## 945 0.98894408 0.97687021 1.00000000
## 946 0.98916604 0.97704469 1.00000000
## 947 0.98939379 0.97724239 1.00000000
## 948 0.98961675 0.97745361 1.00000000
## 949 0.98983502 0.97767654 1.00000000
## 950 0.99004871 0.97790946 1.00000000
## 951 0.99024849 0.97813966 1.00000000
## 952 0.99045348 0.97838766 1.00000000
## 953 0.99065416 0.97864137 1.00000000
## 954 0.99085063 0.97889964 1.00000000
## 955 0.99104296 0.97916144 1.00000000
## 956 0.99122278 0.97941381 1.00000000
## 957 0.99140729 0.97968001 1.00000000
## 958 0.99158793 0.97994740 1.00000000
## 959 0.99176476 0.98021534 1.00000000
## 960 0.99193788 0.98048333 1.00000000
## 961 0.35175879 0.26158309 0.44193450
## 962 0.70561264 0.66946179 0.74176348
## 963 0.78940774 0.76730223 0.81151324
## 964 0.84680123 0.82683943 0.86676304
## 965 0.88639405 0.86716606 0.90562204
## 966 0.91396162 0.89582957 0.93209366
## 967 0.93336108 0.91651486 0.95020731
## 968 0.94715818 0.93155732 0.96275904
## 969 0.95706396 0.94255263 0.97157528
## 970 0.96423172 0.95060933 0.97785411
## 971 0.96945380 0.95651071 0.98239689
## 972 0.97328841 0.96082609 0.98575073
## 973 0.97613936 0.96398192 0.98829680
## 974 0.97830520 0.96630340 0.99030699
## 975 0.98000924 0.96803807 0.99198042
## 976 0.98141829 0.96937073 0.99346584
## 977 0.98265471 0.97043513 0.99487428
## 978 0.98380479 0.97132394 0.99628563
## 979 0.98492462 0.97209690 0.99775235
## 980 0.98502546 0.97221173 0.99783919
## 981 0.98512563 0.97232549 0.99792576
## 982 0.98609115 0.97341207 0.99877022
## 983 0.98699399 0.97442498 0.99956301
## 984 0.98791959 0.97547569 1.00000000
## 985 0.98870375 0.97638440 1.00000000
## 986 0.98950766 0.97733995 1.00000000
## 987 0.99018874 0.97817216 1.00000000
## 988 0.99082560 0.97897162 1.00000000
## 989 0.99147851 0.97981469 1.00000000
## 990 0.99203166 0.98054914 1.00000000
## 991 0.99259874 0.98132287 1.00000000
## 992 0.99307917 0.98199609 1.00000000
## 993 0.99357170 0.98270450 1.00000000
## 994 0.99398897 0.98332025 1.00000000
## 995 0.99437916 0.98391004 1.00000000
## 996 0.99477917 0.98452997 1.00000000
## 997 0.99511806 0.98506838 1.00000000
## 998 0.99546549 0.98563414 1.00000000
## 999 0.99575984 0.98612545 1.00000000
## 1000 0.99606159 0.98664175 1.00000000
## 1001 0.16285767 0.12092511 0.20479023
## 1002 0.62516048 0.58316417 0.66715678
## 1003 0.74446809 0.70632771 0.78260846
## 1004 0.81486415 0.77862148 0.85110682
## 1005 0.85340245 0.81872534 0.88807957
## 1006 0.88068497 0.84793337 0.91343656
## 1007 0.89790082 0.86702651 0.92877512
## 1008 0.91153339 0.88267517 0.94039161
## 1009 0.92098749 0.89384625 0.94812873
## 1010 0.92910660 0.90362038 0.95459281
## 1011 0.93515474 0.91094549 0.95936399
## 1012 0.94024272 0.91706273 0.96342270
## 1013 0.94496635 0.92262715 0.96730554
## 1014 0.94869526 0.92688415 0.97050637
## 1015 0.95221972 0.93075021 0.97368923
## 1016 0.95501693 0.93367777 0.97635608
## 1017 0.95764300 0.93628272 0.97900329
## 1018 0.95968731 0.93818606 0.98118857
## 1019 0.96153846 0.93977525 0.98330167
## 1020 0.96167731 0.93989005 0.98346458
## 1021 0.96181566 0.94000721 0.98362411
## 1022 0.96317198 0.94127013 0.98507382
## 1023 0.96460835 0.94274491 0.98647179
## 1024 0.96598870 0.94422189 0.98775550
## 1025 0.96731521 0.94566787 0.98896254
## 1026 0.96858998 0.94707382 0.99010615
## 1027 0.96981504 0.94843930 0.99119078
## 1028 0.97099232 0.94976640 0.99221823
## 1029 0.97212368 0.95105756 0.99318979
## 1030 0.97321091 0.95231491 0.99410692
## 1031 0.97416246 0.95343005 0.99489488
## 1032 0.97517018 0.95462725 0.99571311
## 1033 0.97613860 0.95579459 0.99648261
## 1034 0.97706924 0.95693285 0.99720563
## 1035 0.97796359 0.95804267 0.99788451
## 1036 0.97882306 0.95912457 0.99852154
## 1037 0.97964900 0.96017900 0.99911900
## 1038 0.98044273 0.96120636 0.99967910
## 1039 0.98120551 0.96220704 1.00000000
## 1040 0.98193853 0.96318142 1.00000000
## 1041 0.28952106 0.25285482 0.32618730
## 1042 0.83973690 0.81982562 0.85964818
## 1043 0.90966913 0.89495816 0.92438010
## 1044 0.93536280 0.92374834 0.94697726
## 1045 0.94870255 0.93870642 0.95869868
## 1046 0.95704294 0.94819070 0.96589517
## 1047 0.96277406 0.95486264 0.97068548
## 1048 0.96693917 0.95978005 0.97409830
## 1049 0.97010412 0.96349680 0.97671145
## 1050 0.97261278 0.96636907 0.97885649
## 1051 0.97461947 0.96858016 0.98065878
## 1052 0.97639921 0.97045931 0.98233911
## 1053 0.97796738 0.97204924 0.98388551
## 1054 0.97938288 0.97343500 0.98533076
## 1055 0.98068457 0.97467002 0.98669911
## 1056 0.98189892 0.97578555 0.98801228
## 1057 0.98304484 0.97679796 0.98929173
## 1058 0.98413657 0.97771410 0.99055904
## 1059 0.98518519 0.97853492 0.99183545
## 1060 0.98521946 0.97856127 0.99187766
## 1061 0.98525366 0.97858752 0.99191980
## 1062 0.98617975 0.97928896 0.99307054
## 1063 0.98704768 0.97993677 0.99415859
## 1064 0.98788919 0.98056433 0.99521404
## 1065 0.98864976 0.98113659 0.99616293
## 1066 0.98936257 0.98168110 0.99704404
## 1067 0.99005368 0.98221955 0.99788781
## 1068 0.99067832 0.98271731 0.99863933
## 1069 0.99126373 0.98319509 0.99933237
## 1070 0.99183133 0.98367028 0.99999237
## 1071 0.99234433 0.98411115 1.00000000
## 1072 0.99284172 0.98455010 1.00000000
## 1073 0.99329126 0.98495761 1.00000000
## 1074 0.99371258 0.98534975 1.00000000
## 1075 0.99412107 0.98574034 1.00000000
## 1076 0.99449028 0.98610302 1.00000000
## 1077 0.99483629 0.98645206 1.00000000
## 1078 0.99517178 0.98679973 1.00000000
## 1079 0.99547500 0.98712257 1.00000000
## 1080 0.99576898 0.98744418 1.00000000
## 1081 0.13857819 0.10068341 0.17647297
## 1082 0.60221049 0.55883728 0.64558369
## 1083 0.73498328 0.69957361 0.77039295
## 1084 0.81267267 0.78378452 0.84156082
## 1085 0.86197634 0.83788234 0.88607034
## 1086 0.89495366 0.87407366 0.91583367
## 1087 0.91789044 0.89906793 0.93671296
## 1088 0.93433024 0.91681749 0.95184299
## 1089 0.94640010 0.92973124 0.96306895
## 1090 0.95544358 0.93931455 0.97157261
## 1091 0.96234671 0.94654070 0.97815272
## 1092 0.96771483 0.95206597 0.98336368
## 1093 0.97197212 0.95634971 0.98759453
## 1094 0.97541997 0.95972037 0.99111958
## 1095 0.97827310 0.96241324 0.99413296
## 1096 0.98068353 0.96459441 0.99677265
## 1097 0.98275793 0.96637822 0.99913765
## 1098 0.98457089 0.96784102 1.00000000
## 1099 0.98630137 0.96912067 1.00000000
## 1100 0.98642590 0.96922801 1.00000000
## 1101 0.98654930 0.96933484 1.00000000
## 1102 0.98783487 0.97048283 1.00000000
## 1103 0.98899757 0.97159264 1.00000000
## 1104 0.99013960 0.97276370 1.00000000
## 1105 0.99108202 0.97379745 1.00000000
## 1106 0.99200769 0.97487706 1.00000000
## 1107 0.99277157 0.97581951 1.00000000
## 1108 0.99352187 0.97679447 1.00000000
## 1109 0.99414102 0.97763931 1.00000000
## 1110 0.99474918 0.97850866 1.00000000
## 1111 0.99525103 0.97925924 1.00000000
## 1112 0.99574397 0.98002986 1.00000000
## 1113 0.99615074 0.98069441 1.00000000
## 1114 0.99655029 0.98137645 1.00000000
## 1115 0.99688000 0.98196480 1.00000000
## 1116 0.99720385 0.98256915 1.00000000
## 1117 0.99747110 0.98309112 1.00000000
## 1118 0.99773359 0.98362811 1.00000000
## 1119 0.99795021 0.98409275 1.00000000
## 1120 0.99816297 0.98457173 1.00000000
## 1121 0.06994467 0.05913875 0.08075059
## 1122 0.61280361 0.58351040 0.64209682
## 1123 0.77559181 0.74851668 0.80266694
## 1124 0.84858102 0.82453378 0.87262826
## 1125 0.88763736 0.86559675 0.90967798
## 1126 0.91132824 0.89030119 0.93235529
## 1127 0.92712485 0.90671022 0.94753947
## 1128 0.93838891 0.91853262 0.95824520
## 1129 0.94677884 0.92751947 0.96603820
## 1130 0.95352031 0.93491876 0.97212186
## 1131 0.95842169 0.94042784 0.97641554
## 1132 0.96225639 0.94482749 0.97968530
## 1133 0.96527460 0.94834968 0.98219953
## 1134 0.96766469 0.95117165 0.98415773
## 1135 0.96957087 0.95342987 0.98571188
## 1136 0.97110286 0.95522751 0.98697822
## 1137 0.97234201 0.95663991 0.98804412
## 1138 0.97334585 0.95771937 0.98897233
## 1139 0.97419355 0.95853647 0.98985062
## 1140 0.97423524 0.95857210 0.98989838
## 1141 0.97427686 0.95860762 0.98994610
## 1142 0.97493376 0.95916576 0.99070177
## 1143 0.97557389 0.95971248 0.99143529
## 1144 0.97619766 0.96025611 0.99213922
## 1145 0.97684298 0.96083590 0.99285006
## 1146 0.97743435 0.96138656 0.99348214
## 1147 0.97801062 0.96194328 0.99407795
## 1148 0.97857217 0.96250625 0.99463808
## 1149 0.97915311 0.96311079 0.99519542
## 1150 0.97968548 0.96368489 0.99568608
## 1151 0.98020426 0.96426288 0.99614564
## 1152 0.98070979 0.96484361 0.99657597
## 1153 0.98123278 0.96546232 0.99700324
## 1154 0.98171204 0.96604500 0.99737908
## 1155 0.98217907 0.96662693 0.99773120
## 1156 0.98263416 0.96720709 0.99806124
## 1157 0.98310498 0.96782052 0.99838944
## 1158 0.98353643 0.96839416 0.99867870
## 1159 0.98395687 0.96896346 0.99895028
## 1160 0.98439182 0.96956282 0.99922083
##
## $coverage_based
## Assemblage SC m Method Order.q qD qD.LCL
## 1 BE10 0.39408454 1 Rarefaction 0 1.000005 0.8874078
## 2 BE10 0.81624219 15 Rarefaction 0 5.138523 4.1863998
## 3 BE10 0.89466844 30 Rarefaction 0 7.261202 6.0377759
## 4 BE10 0.92783460 44 Rarefaction 0 8.493793 6.9504825
## 5 BE10 0.94612196 59 Rarefaction 0 9.433918 7.5493567
## 6 BE10 0.95625439 74 Rarefaction 0 10.164353 7.9791978
## 7 BE10 0.96206318 88 Rarefaction 0 10.736163 8.3124653
## 8 BE10 0.96623309 103 Rarefaction 0 11.274110 8.6146082
## 9 BE10 0.96906748 117 Rarefaction 0 11.727560 8.8677189
## 10 BE10 0.97146996 132 Rarefaction 0 12.174118 9.1292042
## 11 BE10 0.97349012 147 Rarefaction 0 12.587567 9.4077601
## 12 BE10 0.97516349 161 Rarefaction 0 12.947639 9.4986346
## 13 BE10 0.97680512 176 Rarefaction 0 13.308532 9.6255862
## 14 BE10 0.97823491 190 Rarefaction 0 13.623868 9.7134522
## 15 BE10 0.97968357 205 Rarefaction 0 13.940110 9.7734807
## 16 BE10 0.98106612 220 Rarefaction 0 14.235107 9.7928054
## 17 BE10 0.98231255 234 Rarefaction 0 14.492039 9.7822714
## 18 BE10 0.98361695 249 Rarefaction 0 14.748190 9.7489940
## 19 BE10 0.98490566 263 Rarefaction 0 14.973973 9.6931116
## 20 BE10 0.98499094 265 Observed 0 15.000000 9.6990099
## 21 BE10 0.98507574 266 Extrapolation 0 15.015009 9.6948582
## 22 BE10 0.98613547 279 Extrapolation 0 15.202582 9.6430979
## 23 BE10 0.98719272 293 Extrapolation 0 15.389716 9.5864526
## 24 BE10 0.98816936 307 Extrapolation 0 15.562580 9.5267868
## 25 BE10 0.98907151 321 Extrapolation 0 15.722262 9.4722097
## 26 BE10 0.98990488 335 Extrapolation 0 15.869767 9.3924040
## 27 BE10 0.99067469 349 Extrapolation 0 16.006024 9.3119456
## 28 BE10 0.99138580 363 Extrapolation 0 16.131891 9.2326434
## 29 BE10 0.99204269 377 Extrapolation 0 16.248159 9.1560636
## 30 BE10 0.99264948 391 Extrapolation 0 16.355562 9.0837298
## 31 BE10 0.99317142 404 Extrapolation 0 16.447945 9.0195538
## 32 BE10 0.99369214 418 Extrapolation 0 16.540113 8.9533580
## 33 BE10 0.99417315 432 Extrapolation 0 16.625252 8.8903737
## 34 BE10 0.99461749 446 Extrapolation 0 16.703899 8.8306671
## 35 BE10 0.99502793 460 Extrapolation 0 16.776548 8.7742128
## 36 BE10 0.99540708 474 Extrapolation 0 16.843658 8.7209208
## 37 BE10 0.99575732 488 Extrapolation 0 16.905650 8.6706698
## 38 BE10 0.99608085 502 Extrapolation 0 16.962915 8.6233286
## 39 BE10 0.99637971 516 Extrapolation 0 17.015813 8.5788222
## 40 BE10 0.99665578 530 Extrapolation 0 17.064677 8.5372130
## 41 BE11 0.11437155 1 Rarefaction 0 1.000000 0.8705270
## 42 BE11 0.71404943 24 Rarefaction 0 12.039820 10.6878664
## 43 BE11 0.83540696 47 Rarefaction 0 17.059839 15.2816731
## 44 BE11 0.89049749 71 Rarefaction 0 20.301219 18.2298846
## 45 BE11 0.91979579 94 Rarefaction 0 22.469925 20.1908444
## 46 BE11 0.93844882 117 Rarefaction 0 24.094760 21.6248386
## 47 BE11 0.95154503 141 Rarefaction 0 25.411433 22.7219651
## 48 BE11 0.96032454 164 Rarefaction 0 26.423741 23.4790629
## 49 BE11 0.96693307 188 Rarefaction 0 27.295731 24.0120140
## 50 BE11 0.97160537 211 Rarefaction 0 28.002310 24.2908701
## 51 BE11 0.97513590 234 Rarefaction 0 28.614707 23.9686712
## 52 BE11 0.97793683 258 Rarefaction 0 29.177696 23.1538219
## 53 BE11 0.97999182 281 Rarefaction 0 29.661528 22.4294651
## 54 BE11 0.98164234 305 Rarefaction 0 30.121871 21.7959658
## 55 BE11 0.98286542 328 Rarefaction 0 30.530064 21.3430876
## 56 BE11 0.98382524 351 Rarefaction 0 30.913169 21.0505878
## 57 BE11 0.98462189 375 Rarefaction 0 31.291853 20.8458756
## 58 BE11 0.98524932 398 Rarefaction 0 31.638444 20.7279920
## 59 BE11 0.98581560 421 Rarefaction 0 31.975202 20.6539921
## 60 BE11 0.98583798 423 Observed 0 32.000000 20.6628576
## 61 BE11 0.98586031 424 Extrapolation 0 32.014162 20.6608176
## 62 BE11 0.98634292 446 Extrapolation 0 32.320137 20.6053578
## 63 BE11 0.98680906 468 Extrapolation 0 32.615669 20.5428335
## 64 BE11 0.98725929 490 Extrapolation 0 32.901113 20.4753850
## 65 BE11 0.98769415 512 Extrapolation 0 33.176815 20.4048750
## 66 BE11 0.98813292 535 Extrapolation 0 33.454993 20.3305023
## 67 BE11 0.98853796 557 Extrapolation 0 33.711790 20.2605178
## 68 BE11 0.98892918 579 Extrapolation 0 33.959822 20.1885527
## 69 BE11 0.98930704 601 Extrapolation 0 34.199389 20.1153972
## 70 BE11 0.98967201 623 Extrapolation 0 34.430778 20.0417826
## 71 BE11 0.99004026 646 Extrapolation 0 34.664246 19.9651036
## 72 BE11 0.99038020 668 Extrapolation 0 34.879769 19.8929684
## 73 BE11 0.99070854 690 Extrapolation 0 35.087936 19.8237355
## 74 BE11 0.99102567 712 Extrapolation 0 35.288999 19.7551737
## 75 BE11 0.99133198 734 Extrapolation 0 35.483198 19.6868433
## 76 BE11 0.99164104 757 Extrapolation 0 35.679142 19.6159058
## 77 BE11 0.99192634 779 Extrapolation 0 35.860025 19.5487315
## 78 BE11 0.99220191 801 Extrapolation 0 36.034734 19.4823842
## 79 BE11 0.99246807 823 Extrapolation 0 36.203481 19.4169977
## 80 BE11 0.99273662 846 Extrapolation 0 36.373742 19.3497851
## 81 BE12 0.11947921 1 Rarefaction 0 1.000000 0.8663158
## 82 BE12 0.63117812 12 Rarefaction 0 7.345013 6.1655064
## 83 BE12 0.77676623 24 Rarefaction 0 10.836122 9.3136481
## 84 BE12 0.83948693 35 Rarefaction 0 12.944977 11.2510449
## 85 BE12 0.87978515 47 Rarefaction 0 14.630595 12.8186695
## 86 BE12 0.90448130 58 Rarefaction 0 15.821996 13.9314020
## 87 BE12 0.92414757 70 Rarefaction 0 16.854248 14.8924753
## 88 BE12 0.93794572 81 Rarefaction 0 17.616638 15.5958204
## 89 BE12 0.94978665 93 Rarefaction 0 18.293312 16.2121550
## 90 BE12 0.95842030 104 Rarefaction 0 18.800802 16.6661466
## 91 BE12 0.96594846 116 Rarefaction 0 19.256609 17.0595026
## 92 BE12 0.97145820 127 Rarefaction 0 19.602545 17.3365835
## 93 BE12 0.97625071 139 Rarefaction 0 19.917558 17.5349377
## 94 BE12 0.97974725 150 Rarefaction 0 20.160627 17.5724433
## 95 BE12 0.98279641 162 Rarefaction 0 20.386195 17.5178465
## 96 BE12 0.98505792 173 Rarefaction 0 20.563733 17.4318949
## 97 BE12 0.98711297 185 Rarefaction 0 20.731389 17.3237040
## 98 BE12 0.98875698 196 Rarefaction 0 20.864776 17.2230293
## 99 BE12 0.99043062 208 Rarefaction 0 20.989324 17.1110055
## 100 BE12 0.99056668 209 Observed 0 21.000000 17.1028826
## 101 BE12 0.99070080 210 Extrapolation 0 21.009433 17.0926674
## 102 BE12 0.99194150 220 Extrapolation 0 21.096696 16.9893417
## 103 BE12 0.99311595 231 Extrapolation 0 21.179299 16.8839758
## 104 BE12 0.99411924 242 Extrapolation 0 21.249863 16.7887973
## 105 BE12 0.99497630 253 Extrapolation 0 21.310144 16.7042101
## 106 BE12 0.99570846 264 Extrapolation 0 21.361639 16.6300163
## 107 BE12 0.99633391 275 Extrapolation 0 21.405629 16.5650267
## 108 BE12 0.99686821 286 Extrapolation 0 21.443208 16.5083744
## 109 BE12 0.99732464 297 Extrapolation 0 21.475310 16.4591790
## 110 BE12 0.99771455 308 Extrapolation 0 21.502734 16.4165806
## 111 BE12 0.99804763 319 Extrapolation 0 21.526160 16.3797807
## 112 BE12 0.99833217 330 Extrapolation 0 21.546173 16.3480469
## 113 BE12 0.99857524 341 Extrapolation 0 21.563269 16.3207233
## 114 BE12 0.99878289 352 Extrapolation 0 21.577873 16.2972242
## 115 BE12 0.99896027 363 Extrapolation 0 21.590349 16.2770352
## 116 BE12 0.99911180 374 Extrapolation 0 21.601007 16.2597057
## 117 BE12 0.99924125 385 Extrapolation 0 21.610111 16.2448400
## 118 BE12 0.99935183 396 Extrapolation 0 21.617889 16.2320943
## 119 BE12 0.99944629 407 Extrapolation 0 21.624533 16.2211757
## 120 BE12 0.99952699 418 Extrapolation 0 21.630209 16.2118213
## 121 BE13 0.05300481 1 Rarefaction 0 1.000000 0.9478169
## 122 BE13 0.58115955 19 Rarefaction 0 12.630229 11.2866143
## 123 BE13 0.75773941 37 Rarefaction 0 18.418020 16.3583224
## 124 BE13 0.83515803 56 Rarefaction 0 22.229057 19.4521410
## 125 BE13 0.87190830 74 Rarefaction 0 24.851476 21.3832644
## 126 BE13 0.89330283 92 Rarefaction 0 26.959730 22.8565773
## 127 BE13 0.90762563 111 Rarefaction 0 28.848596 24.1820483
## 128 BE13 0.91701137 129 Rarefaction 0 30.427140 25.3346644
## 129 BE13 0.92445702 148 Rarefaction 0 31.933920 26.4872813
## 130 BE13 0.93012965 166 Rarefaction 0 33.243929 27.5315063
## 131 BE13 0.93495832 184 Rarefaction 0 34.459532 28.5337913
## 132 BE13 0.93943469 203 Rarefaction 0 35.654193 29.5483771
## 133 BE13 0.94324420 221 Rarefaction 0 36.711439 30.4678039
## 134 BE13 0.94690765 240 Rarefaction 0 37.756304 31.3889119
## 135 BE13 0.95009556 258 Rarefaction 0 38.684491 32.2067389
## 136 BE13 0.95304544 276 Rarefaction 0 39.557362 32.9648515
## 137 BE13 0.95593050 295 Rarefaction 0 40.423183 33.6961687
## 138 BE13 0.95846878 313 Rarefaction 0 41.194587 34.3184963
## 139 BE13 0.96096096 332 Rarefaction 0 41.946537 34.9023621
## 140 BE13 0.96108718 333 Observed 0 42.000000 34.9444137
## 141 BE13 0.96121300 334 Extrapolation 0 42.038913 34.9741496
## 142 BE13 0.96329068 351 Extrapolation 0 42.681509 35.4592363
## 143 BE13 0.96525706 368 Extrapolation 0 43.289684 35.9071692
## 144 BE13 0.96722443 386 Extrapolation 0 43.898162 36.3546804
## 145 BE13 0.96898010 403 Extrapolation 0 44.441165 36.7385937
## 146 BE13 0.97073664 421 Extrapolation 0 44.984440 37.1027759
## 147 BE13 0.97230417 438 Extrapolation 0 45.469255 37.4058887
## 148 BE13 0.97387249 456 Extrapolation 0 45.954312 37.6902389
## 149 BE13 0.97527204 473 Extrapolation 0 46.387175 37.9238450
## 150 BE13 0.97667230 491 Extrapolation 0 46.820254 38.1395055
## 151 BE13 0.97792188 508 Extrapolation 0 47.206731 38.3181630
## 152 BE13 0.97917208 526 Extrapolation 0 47.593401 38.4852360
## 153 BE13 0.98028776 543 Extrapolation 0 47.938464 38.6244775
## 154 BE13 0.98140399 561 Extrapolation 0 48.283699 38.7546630
## 155 BE13 0.98240011 578 Extrapolation 0 48.591784 38.8636490
## 156 BE13 0.98339673 596 Extrapolation 0 48.900024 38.9663397
## 157 BE13 0.98428611 613 Extrapolation 0 49.175096 39.0529407
## 158 BE13 0.98517593 631 Extrapolation 0 49.450305 39.1350928
## 159 BE13 0.98597000 648 Extrapolation 0 49.695900 39.2047244
## 160 BE13 0.98676447 666 Extrapolation 0 49.941617 39.2710646
## 161 BE14 0.05725589 1 Rarefaction 0 1.000000 0.9183185
## 162 BE14 0.57652840 20 Rarefaction 0 13.090894 11.4555790
## 163 BE14 0.74386538 40 Rarefaction 0 19.715455 17.4712500
## 164 BE14 0.81844953 60 Rarefaction 0 24.044830 21.3058644
## 165 BE14 0.85726202 79 Rarefaction 0 27.113811 23.9219220
## 166 BE14 0.88286082 99 Rarefaction 0 29.707402 26.0647997
## 167 BE14 0.90032026 119 Rarefaction 0 31.874375 27.8119218
## 168 BE14 0.91248101 138 Rarefaction 0 33.653498 29.2150660
## 169 BE14 0.92225218 158 Rarefaction 0 35.306795 30.4866181
## 170 BE14 0.92985846 178 Rarefaction 0 36.786474 31.5861225
## 171 BE14 0.93563297 197 Rarefaction 0 38.065288 32.4939080
## 172 BE14 0.94058411 217 Rarefaction 0 39.303941 33.3240498
## 173 BE14 0.94467832 237 Rarefaction 0 40.452149 34.0414734
## 174 BE14 0.94798360 256 Rarefaction 0 41.472750 34.6296205
## 175 BE14 0.95101639 276 Rarefaction 0 42.483623 35.1584477
## 176 BE14 0.95372344 296 Rarefaction 0 43.437130 35.6115435
## 177 BE14 0.95608650 315 Rarefaction 0 44.294855 35.9242760
## 178 BE14 0.95842760 335 Rarefaction 0 45.150687 36.1664937
## 179 BE14 0.96067416 354 Rarefaction 0 45.937157 36.3293524
## 180 BE14 0.96078462 356 Observed 0 46.000000 36.3590211
## 181 BE14 0.96089478 357 Extrapolation 0 46.039215 36.3664567
## 182 BE14 0.96282550 375 Extrapolation 0 46.726552 36.5088143
## 183 BE14 0.96476016 394 Extrapolation 0 47.415292 36.6484498
## 184 BE14 0.96659414 413 Extrapolation 0 48.068189 36.6613841
## 185 BE14 0.96824347 431 Extrapolation 0 48.655350 36.5813138
## 186 BE14 0.96989617 450 Extrapolation 0 49.243710 36.4297394
## 187 BE14 0.97146286 469 Extrapolation 0 49.801451 36.2314275
## 188 BE14 0.97287180 487 Extrapolation 0 50.303037 36.0146376
## 189 BE14 0.97428363 506 Extrapolation 0 50.805647 35.7631030
## 190 BE14 0.97562198 525 Extrapolation 0 51.282100 35.4970792
## 191 BE14 0.97682558 543 Extrapolation 0 51.710582 35.2379457
## 192 BE14 0.97803164 562 Extrapolation 0 52.139940 34.9616329
## 193 BE14 0.97917494 581 Extrapolation 0 52.546952 34.6862865
## 194 BE14 0.98020312 599 Extrapolation 0 52.912986 34.4287250
## 195 BE14 0.98123341 618 Extrapolation 0 53.279767 34.1621804
## 196 BE14 0.98221007 637 Extrapolation 0 53.627460 33.9025314
## 197 BE14 0.98308841 655 Extrapolation 0 53.940146 33.6637418
## 198 BE14 0.98396853 674 Extrapolation 0 54.253471 33.4200402
## 199 BE14 0.98480285 693 Extrapolation 0 54.550490 33.1848773
## 200 BE14 0.98559375 712 Extrapolation 0 54.832051 32.9585693
## 201 BE15 0.03682863 1 Rarefaction 0 1.000007 0.9684967
## 202 BE15 0.27403269 9 Rarefaction 0 7.814114 6.5671288
## 203 BE15 0.45201084 18 Rarefaction 0 13.581024 11.4225621
## 204 BE15 0.55989945 26 Rarefaction 0 17.562950 14.7420756
## 205 BE15 0.64541235 35 Rarefaction 0 21.159341 17.6892045
## 206 BE15 0.70633001 44 Rarefaction 0 24.092473 20.0309028
## 207 BE15 0.74681802 52 Rarefaction 0 26.293255 21.7335574
## 208 BE15 0.78188506 61 Rarefaction 0 28.424767 23.3245532
## 209 BE15 0.80642382 69 Rarefaction 0 30.080358 24.5096597
## 210 BE15 0.82864400 78 Rarefaction 0 31.730039 25.6265448
## 211 BE15 0.84663366 87 Rarefaction 0 33.197592 26.5255658
## 212 BE15 0.85993315 95 Rarefaction 0 34.376520 27.1064867
## 213 BE15 0.87255116 104 Rarefaction 0 35.585025 27.4076899
## 214 BE15 0.88211068 112 Rarefaction 0 36.570247 27.6010011
## 215 BE15 0.89137544 121 Rarefaction 0 37.593140 27.8106744
## 216 BE15 0.89936200 130 Rarefaction 0 38.537966 28.0186841
## 217 BE15 0.90558182 138 Rarefaction 0 39.320806 28.2041110
## 218 BE15 0.91175739 147 Rarefaction 0 40.145276 28.4209133
## 219 BE15 0.91719745 156 Rarefaction 0 40.889723 28.6190858
## 220 BE15 0.91776515 157 Observed 0 41.000000 28.6744761
## 221 BE15 0.91832895 158 Extrapolation 0 41.082235 28.6994217
## 222 BE15 0.92270243 166 Extrapolation 0 41.720138 28.8907557
## 223 BE15 0.92684171 174 Extrapolation 0 42.323882 29.0696904
## 224 BE15 0.93075933 182 Extrapolation 0 42.895295 29.2146099
## 225 BE15 0.93446717 190 Extrapolation 0 43.436109 29.3296703
## 226 BE15 0.93840168 199 Extrapolation 0 44.009986 29.4295180
## 227 BE15 0.94170027 207 Extrapolation 0 44.491108 29.4967283
## 228 BE15 0.94482222 215 Extrapolation 0 44.946466 29.5476925
## 229 BE15 0.94777698 223 Extrapolation 0 45.377440 29.5853917
## 230 BE15 0.95057352 231 Extrapolation 0 45.785336 29.6123675
## 231 BE15 0.95354103 240 Extrapolation 0 46.218168 29.6319638
## 232 BE15 0.95602890 248 Extrapolation 0 46.581042 29.6401242
## 233 BE15 0.95838355 256 Extrapolation 0 46.924485 29.6455567
## 234 BE15 0.96061211 264 Extrapolation 0 47.249536 29.6448114
## 235 BE15 0.96272133 272 Extrapolation 0 47.557180 29.6403038
## 236 BE15 0.96495950 281 Extrapolation 0 47.883633 29.6316861
## 237 BE15 0.96683592 289 Extrapolation 0 48.157322 29.6215339
## 238 BE15 0.96861185 297 Extrapolation 0 48.416355 29.6075164
## 239 BE15 0.97029268 305 Extrapolation 0 48.661516 29.5964157
## 240 BE15 0.97207628 314 Extrapolation 0 48.921666 29.5805037
## 241 BE16 0.13215078 1 Rarefaction 0 1.000000 0.9266897
## 242 BE16 0.72643580 20 Rarefaction 0 9.838873 8.4488007
## 243 BE16 0.83848640 39 Rarefaction 0 13.870647 12.0789913
## 244 BE16 0.89160832 58 Rarefaction 0 16.410253 14.4088393
## 245 BE16 0.92214177 77 Rarefaction 0 18.170956 16.0294822
## 246 BE16 0.94216733 97 Rarefaction 0 19.523011 17.2771423
## 247 BE16 0.95478907 116 Rarefaction 0 20.500838 18.1762668
## 248 BE16 0.96365661 135 Rarefaction 0 21.275370 18.8767909
## 249 BE16 0.97009659 154 Rarefaction 0 21.904830 19.4287211
## 250 BE16 0.97511101 174 Rarefaction 0 22.452784 19.8824922
## 251 BE16 0.97870991 193 Rarefaction 0 22.891794 20.2058231
## 252 BE16 0.98150301 212 Rarefaction 0 23.270094 20.4082866
## 253 BE16 0.98371261 231 Rarefaction 0 23.600869 20.3171012
## 254 BE16 0.98549713 250 Rarefaction 0 23.893699 20.1452211
## 255 BE16 0.98704331 270 Rarefaction 0 24.168590 19.9392055
## 256 BE16 0.98828703 289 Rarefaction 0 24.403287 19.7710635
## 257 BE16 0.98938008 308 Rarefaction 0 24.615804 19.6239707
## 258 BE16 0.99037797 327 Rarefaction 0 24.808491 19.4593272
## 259 BE16 0.99137931 346 Rarefaction 0 24.985996 19.2730671
## 260 BE16 0.99142871 348 Observed 0 25.000000 19.2697000
## 261 BE16 0.99147783 349 Extrapolation 0 25.008571 19.2603894
## 262 BE16 0.99231537 367 Extrapolation 0 25.154722 19.0936956
## 263 BE16 0.99307060 385 Extrapolation 0 25.286509 18.9342729
## 264 BE16 0.99375160 403 Extrapolation 0 25.405344 18.7850131
## 265 BE16 0.99439797 422 Extrapolation 0 25.518135 18.6411883
## 266 BE16 0.99494852 440 Extrapolation 0 25.614207 18.5159587
## 267 BE16 0.99544497 458 Extrapolation 0 25.700837 18.3998914
## 268 BE16 0.99589263 476 Extrapolation 0 25.778953 18.2928519
## 269 BE16 0.99631751 495 Extrapolation 0 25.853096 18.1893252
## 270 BE16 0.99667942 513 Extrapolation 0 25.916248 18.0997989
## 271 BE16 0.99700576 531 Extrapolation 0 25.973195 18.0181644
## 272 BE16 0.99730003 549 Extrapolation 0 26.024544 17.9439480
## 273 BE16 0.99757932 568 Extrapolation 0 26.073282 17.8728677
## 274 BE16 0.99781722 586 Extrapolation 0 26.114795 17.8118340
## 275 BE16 0.99803174 604 Extrapolation 0 26.152228 17.7564243
## 276 BE16 0.99822518 622 Extrapolation 0 26.185983 17.7061643
## 277 BE16 0.99840877 641 Extrapolation 0 26.218021 17.6582074
## 278 BE16 0.99856516 659 Extrapolation 0 26.245309 17.6171687
## 279 BE16 0.99870617 677 Extrapolation 0 26.269916 17.5800159
## 280 BE16 0.99884001 696 Extrapolation 0 26.293271 17.5446257
## 281 BE17 0.05198763 1 Rarefaction 0 1.000003 0.9166657
## 282 BE17 0.43753991 12 Rarefaction 0 9.239211 7.8614374
## 283 BE17 0.63897372 24 Rarefaction 0 14.739254 12.8073733
## 284 BE17 0.73718204 35 Rarefaction 0 18.171697 16.0037943
## 285 BE17 0.80193865 47 Rarefaction 0 20.939539 18.6355612
## 286 BE17 0.84173095 58 Rarefaction 0 22.907155 20.5305054
## 287 BE17 0.87343389 70 Rarefaction 0 24.622760 22.1936420
## 288 BE17 0.89585196 81 Rarefaction 0 25.898287 23.4292247
## 289 BE17 0.91544934 93 Rarefaction 0 27.036051 24.5131815
## 290 BE17 0.93016542 104 Rarefaction 0 27.890091 25.2924049
## 291 BE17 0.94351930 116 Rarefaction 0 28.652185 25.9329557
## 292 BE17 0.95379193 127 Rarefaction 0 29.220579 26.3422759
## 293 BE17 0.96326121 139 Rarefaction 0 29.721365 26.5594238
## 294 BE17 0.97062394 150 Rarefaction 0 30.087637 26.2585527
## 295 BE17 0.97745851 162 Rarefaction 0 30.401421 25.3509855
## 296 BE17 0.98279493 173 Rarefaction 0 30.621954 24.4160162
## 297 BE17 0.98775628 185 Rarefaction 0 30.800303 23.4388861
## 298 BE17 0.99162707 196 Rarefaction 0 30.915086 22.6227730
## 299 BE17 0.99521531 208 Rarefaction 0 30.992962 21.8194329
## 300 BE17 0.99547629 209 Observed 0 31.000000 21.7616077
## 301 BE17 0.99572304 210 Extrapolation 0 31.004524 21.7045630
## 302 BE17 0.99755915 220 Extrapolation 0 31.038186 21.2772794
## 303 BE17 0.99868299 231 Extrapolation 0 31.058789 21.0134808
## 304 BE17 0.99928938 242 Extrapolation 0 31.069907 20.8704814
## 305 BE17 0.99961657 253 Extrapolation 0 31.075905 20.7931395
## 306 BE17 0.99979311 264 Extrapolation 0 31.079142 20.7513521
## 307 BE17 0.99988837 275 Extrapolation 0 31.080888 20.7287955
## 308 BE17 0.99993977 286 Extrapolation 0 31.081830 20.7166172
## 309 BE17 0.99996750 297 Extrapolation 0 31.082339 20.7100450
## 310 BE17 0.99998246 308 Extrapolation 0 31.082613 20.7064985
## 311 BE17 0.99999054 319 Extrapolation 0 31.082761 20.7045848
## 312 BE17 0.99999489 330 Extrapolation 0 31.082841 20.7035522
## 313 BE17 0.99999725 341 Extrapolation 0 31.082884 20.7029950
## 314 BE17 0.99999851 352 Extrapolation 0 31.082907 20.7026944
## 315 BE17 0.99999920 363 Extrapolation 0 31.082920 20.7025351
## 316 BE17 0.99999957 374 Extrapolation 0 31.082927 20.7024447
## 317 BE17 0.99999977 385 Extrapolation 0 31.082930 20.7023974
## 318 BE17 0.99999987 396 Extrapolation 0 31.082932 20.7023720
## 319 BE17 0.99999993 407 Extrapolation 0 31.082933 20.7023611
## 320 BE17 0.99999996 418 Extrapolation 0 31.082934 20.7023508
## 321 BE18 0.09209837 1 Rarefaction 0 1.000015 0.9177352
## 322 BE18 0.62912716 21 Rarefaction 0 12.112883 10.2576171
## 323 BE18 0.75093743 41 Rarefaction 0 18.210636 15.6854912
## 324 BE18 0.81475664 62 Rarefaction 0 22.736554 19.6536817
## 325 BE18 0.85078840 82 Rarefaction 0 26.072385 22.4673178
## 326 BE18 0.87581477 103 Rarefaction 0 28.939057 24.7566939
## 327 BE18 0.89282127 123 Rarefaction 0 31.252804 26.4984016
## 328 BE18 0.90629084 144 Rarefaction 0 33.362582 27.9887204
## 329 BE18 0.91631973 164 Rarefaction 0 35.137729 29.1491305
## 330 BE18 0.92476065 185 Rarefaction 0 36.807404 30.1309495
## 331 BE18 0.93130597 205 Rarefaction 0 38.247900 30.8645801
## 332 BE18 0.93671757 225 Rarefaction 0 39.568693 31.4318206
## 333 BE18 0.94142393 246 Rarefaction 0 40.848993 31.8982223
## 334 BE18 0.94514889 266 Rarefaction 0 41.984017 32.2974854
## 335 BE18 0.94840708 287 Rarefaction 0 43.102250 32.6827836
## 336 BE18 0.95099661 307 Rarefaction 0 44.108755 33.0540833
## 337 BE18 0.95327517 328 Rarefaction 0 45.114333 33.4828708
## 338 BE18 0.95510772 348 Rarefaction 0 46.030936 33.9229889
## 339 BE18 0.95675676 368 Rarefaction 0 46.916623 34.3726465
## 340 BE18 0.95682988 370 Observed 0 47.000000 34.4372840
## 341 BE18 0.95690287 371 Extrapolation 0 47.043170 34.4590803
## 342 BE18 0.95826659 390 Extrapolation 0 47.849673 34.8958437
## 343 BE18 0.95958716 409 Extrapolation 0 48.630655 35.3141754
## 344 BE18 0.96093211 429 Extrapolation 0 49.426060 35.7355424
## 345 BE18 0.96216833 448 Extrapolation 0 50.157161 36.1207753
## 346 BE18 0.96342738 468 Extrapolation 0 50.901762 36.5191407
## 347 BE18 0.96458464 487 Extrapolation 0 51.586168 36.8821817
## 348 BE18 0.96570529 506 Extrapolation 0 52.248917 37.2318106
## 349 BE18 0.96684662 526 Extrapolation 0 52.923905 37.5825094
## 350 BE18 0.96789569 545 Extrapolation 0 53.544324 37.9008212
## 351 BE18 0.96896413 565 Extrapolation 0 54.176200 38.2220434
## 352 BE18 0.96994620 584 Extrapolation 0 54.756993 38.5155814
## 353 BE18 0.97094640 604 Extrapolation 0 55.348510 38.8132095
## 354 BE18 0.97186574 623 Extrapolation 0 55.892208 39.0849039
## 355 BE18 0.97275599 642 Extrapolation 0 56.418702 39.3471762
## 356 BE18 0.97366268 662 Extrapolation 0 56.954917 39.6136633
## 357 BE18 0.97449607 681 Extrapolation 0 57.447784 39.8567380
## 358 BE18 0.97534484 701 Extrapolation 0 57.949751 40.1029531
## 359 BE18 0.97612500 720 Extrapolation 0 58.411138 40.3281898
## 360 BE18 0.97691957 740 Extrapolation 0 58.881045 40.5549003
## 361 BE19 0.09812942 1 Rarefaction 0 1.000000 0.8812797
## 362 BE19 0.62136876 20 Rarefaction 0 11.653126 10.1595503
## 363 BE19 0.74983982 39 Rarefaction 0 17.536347 15.6051220
## 364 BE19 0.81750925 58 Rarefaction 0 21.624555 19.4118563
## 365 BE19 0.86006567 77 Rarefaction 0 24.681594 22.2686495
## 366 BE19 0.88943495 96 Rarefaction 0 27.060481 24.5039028
## 367 BE19 0.91096565 115 Rarefaction 0 28.957736 26.2953619
## 368 BE19 0.92743996 134 Rarefaction 0 30.494613 27.7449011
## 369 BE19 0.94042403 153 Rarefaction 0 31.751758 28.9134369
## 370 BE19 0.95085691 172 Rarefaction 0 32.786321 29.8407434
## 371 BE19 0.95933684 191 Rarefaction 0 33.640997 30.5637915
## 372 BE19 0.96626662 210 Rarefaction 0 34.349033 31.1253721
## 373 BE19 0.97193074 229 Rarefaction 0 34.937175 31.5610383
## 374 BE19 0.97653842 248 Rarefaction 0 35.427492 31.8700685
## 375 BE19 0.98024928 267 Rarefaction 0 35.838556 31.7757131
## 376 BE19 0.98318961 286 Rarefaction 0 36.186226 31.3741463
## 377 BE19 0.98546317 305 Rarefaction 0 36.484182 30.9407339
## 378 BE19 0.98715871 324 Rarefaction 0 36.744274 30.6051567
## 379 BE19 0.98840580 343 Rarefaction 0 36.979470 30.3882112
## 380 BE19 0.98845613 345 Observed 0 37.000000 30.3902622
## 381 BE19 0.98850625 346 Extrapolation 0 37.011544 30.3855208
## 382 BE19 0.98937207 364 Extrapolation 0 37.210970 30.2744305
## 383 BE19 0.99017267 382 Extrapolation 0 37.395374 30.1615742
## 384 BE19 0.99091295 400 Extrapolation 0 37.565887 30.0502126
## 385 BE19 0.99159747 418 Extrapolation 0 37.723556 29.9419813
## 386 BE19 0.99223043 436 Extrapolation 0 37.869347 29.8378113
## 387 BE19 0.99281571 454 Extrapolation 0 38.004156 29.7383066
## 388 BE19 0.99335690 472 Extrapolation 0 38.128809 29.6438219
## 389 BE19 0.99385732 490 Extrapolation 0 38.244073 29.5545215
## 390 BE19 0.99432004 508 Extrapolation 0 38.350654 29.4704352
## 391 BE19 0.99477071 527 Extrapolation 0 38.454458 29.3871671
## 392 BE19 0.99516463 545 Extrapolation 0 38.545191 29.3133085
## 393 BE19 0.99552888 563 Extrapolation 0 38.629089 29.2441574
## 394 BE19 0.99586569 581 Extrapolation 0 38.706667 29.1795060
## 395 BE19 0.99617712 599 Extrapolation 0 38.778401 29.1191338
## 396 BE19 0.99646510 617 Extrapolation 0 38.844731 29.0628138
## 397 BE19 0.99673138 635 Extrapolation 0 38.906065 29.0103189
## 398 BE19 0.99697760 653 Extrapolation 0 38.962778 28.9614257
## 399 BE19 0.99720528 671 Extrapolation 0 39.015219 28.9159251
## 400 BE19 0.99742702 690 Extrapolation 0 39.066295 28.8713795
## 401 BE2 0.07262649 1 Rarefaction 0 1.000008 0.9489524
## 402 BE2 0.74343162 25 Rarefaction 0 13.023071 11.9692384
## 403 BE2 0.86969842 49 Rarefaction 0 17.407398 15.7311652
## 404 BE2 0.91170859 73 Rarefaction 0 19.980528 17.7515375
## 405 BE2 0.93241015 97 Rarefaction 0 21.838221 19.1839437
## 406 BE2 0.94505087 121 Rarefaction 0 23.304229 20.3427655
## 407 BE2 0.95360086 145 Rarefaction 0 24.518635 21.3370276
## 408 BE2 0.95975632 169 Rarefaction 0 25.557722 22.2158633
## 409 BE2 0.96440804 193 Rarefaction 0 26.467684 23.0060558
## 410 BE2 0.96807227 217 Rarefaction 0 27.278151 23.7236401
## 411 BE2 0.97106761 241 Rarefaction 0 28.008871 24.3785332
## 412 BE2 0.97360130 265 Rarefaction 0 28.673350 24.9768049
## 413 BE2 0.97581399 289 Rarefaction 0 29.280941 25.5218525
## 414 BE2 0.97780377 313 Rarefaction 0 29.838156 26.0145860
## 415 BE2 0.97963947 337 Rarefaction 0 30.349502 26.4524115
## 416 BE2 0.98136873 361 Rarefaction 0 30.818091 26.8263552
## 417 BE2 0.98302314 385 Rarefaction 0 31.246090 26.9676698
## 418 BE2 0.98462199 409 Rarefaction 0 31.635050 26.8883636
## 419 BE2 0.98617512 432 Rarefaction 0 31.975039 26.6728886
## 420 BE2 0.98623868 434 Observed 0 32.000000 26.6741497
## 421 BE2 0.98630195 435 Extrapolation 0 32.013761 26.6640634
## 422 BE2 0.98762262 457 Extrapolation 0 32.301007 26.3957635
## 423 BE2 0.98886738 480 Extrapolation 0 32.571742 26.0715249
## 424 BE2 0.98998695 503 Extrapolation 0 32.815250 25.7330894
## 425 BE2 0.99099394 526 Extrapolation 0 33.034269 25.4153172
## 426 BE2 0.99186224 548 Extrapolation 0 33.223124 25.1274240
## 427 BE2 0.99268063 571 Extrapolation 0 33.401124 24.8330032
## 428 BE2 0.99341672 594 Extrapolation 0 33.561224 24.5588397
## 429 BE2 0.99407878 617 Extrapolation 0 33.705222 24.2964508
## 430 BE2 0.99467426 640 Extrapolation 0 33.834739 24.0524953
## 431 BE2 0.99518773 662 Extrapolation 0 33.946419 23.8378741
## 432 BE2 0.99567169 685 Extrapolation 0 34.051680 23.6340469
## 433 BE2 0.99610697 708 Extrapolation 0 34.146354 23.4474696
## 434 BE2 0.99649848 731 Extrapolation 0 34.231508 23.2768908
## 435 BE2 0.99685062 754 Extrapolation 0 34.308098 23.1213838
## 436 BE2 0.99715426 776 Extrapolation 0 34.374140 22.9858058
## 437 BE2 0.99744045 799 Extrapolation 0 34.436386 22.8568272
## 438 BE2 0.99769786 822 Extrapolation 0 34.492372 22.7398782
## 439 BE2 0.99792938 845 Extrapolation 0 34.542727 22.6339621
## 440 BE2 0.99813761 868 Extrapolation 0 34.588019 22.5381315
## 441 BE20 0.24777798 1 Rarefaction 0 1.000000 0.8201756
## 442 BE20 0.63765407 9 Rarefaction 0 4.998873 3.7565671
## 443 BE20 0.72908010 17 Rarefaction 0 7.549565 5.9981539
## 444 BE20 0.78904434 25 Rarefaction 0 9.491691 7.5897716
## 445 BE20 0.83031142 33 Rarefaction 0 11.025321 8.6913031
## 446 BE20 0.85976895 41 Rarefaction 0 12.273574 9.3461479
## 447 BE20 0.88382201 50 Rarefaction 0 13.433703 9.6168255
## 448 BE20 0.89977722 58 Rarefaction 0 14.304538 9.5185210
## 449 BE20 0.91214270 66 Rarefaction 0 15.061033 9.0814165
## 450 BE20 0.92183727 74 Rarefaction 0 15.728438 8.2254643
## 451 BE20 0.92947966 82 Rarefaction 0 16.325806 7.0154428
## 452 BE20 0.93550847 90 Rarefaction 0 16.867927 5.8987241
## 453 BE20 0.94076516 99 Rarefaction 0 17.426260 4.8796401
## 454 BE20 0.94435685 107 Rarefaction 0 17.886973 4.2041697
## 455 BE20 0.94713630 115 Rarefaction 0 18.321914 3.7869596
## 456 BE20 0.94926245 123 Rarefaction 0 18.737001 3.5054951
## 457 BE20 0.95086636 131 Rarefaction 0 19.136982 3.3691447
## 458 BE20 0.95205760 139 Rarefaction 0 19.525644 3.3574243
## 459 BE20 0.95302013 148 Rarefaction 0 19.931441 3.4484822
## 460 BE20 0.95311065 149 Observed 0 20.000000 3.4833473
## 461 BE20 0.95320100 150 Extrapolation 0 20.046889 3.5045801
## 462 BE20 0.95382856 157 Extrapolation 0 20.372595 3.6189252
## 463 BE20 0.95453548 165 Extrapolation 0 20.739485 3.7418479
## 464 BE20 0.95523157 173 Extrapolation 0 21.100758 3.8612297
## 465 BE20 0.95591701 181 Extrapolation 0 21.456499 3.9773702
## 466 BE20 0.95650815 188 Extrapolation 0 21.763302 4.0765642
## 467 BE20 0.95717404 196 Extrapolation 0 22.108900 4.1874188
## 468 BE20 0.95782974 204 Extrapolation 0 22.449206 4.2958846
## 469 BE20 0.95847540 212 Extrapolation 0 22.784301 4.4022987
## 470 BE20 0.95911117 220 Extrapolation 0 23.114267 4.5070765
## 471 BE20 0.95965948 227 Extrapolation 0 23.398839 4.5960914
## 472 BE20 0.96027712 235 Extrapolation 0 23.719395 4.7004475
## 473 BE20 0.96088530 243 Extrapolation 0 24.035044 4.8008496
## 474 BE20 0.96148418 251 Extrapolation 0 24.345859 4.8993074
## 475 BE20 0.96207388 259 Extrapolation 0 24.651916 4.9960336
## 476 BE20 0.96258246 266 Extrapolation 0 24.915869 5.0794283
## 477 BE20 0.96315535 274 Extrapolation 0 25.213198 5.1735295
## 478 BE20 0.96371947 282 Extrapolation 0 25.505975 5.2666201
## 479 BE20 0.96427495 290 Extrapolation 0 25.794270 5.3590670
## 480 BE20 0.96482193 298 Extrapolation 0 26.078150 5.4514042
## 481 BE21 0.06068730 1 Rarefaction 0 1.000000 0.9524615
## 482 BE21 0.61740609 21 Rarefaction 0 13.115675 11.9496705
## 483 BE21 0.78513848 42 Rarefaction 0 19.201213 17.4897213
## 484 BE21 0.86027063 63 Rarefaction 0 22.873653 20.7241947
## 485 BE21 0.89945220 83 Rarefaction 0 25.261994 22.7339695
## 486 BE21 0.92460260 104 Rarefaction 0 27.101914 24.1981062
## 487 BE21 0.94107230 125 Rarefaction 0 28.509441 25.2374533
## 488 BE21 0.95207513 145 Rarefaction 0 29.577592 25.9443827
## 489 BE21 0.96053051 166 Rarefaction 0 30.494988 26.4539706
## 490 BE21 0.96685128 187 Rarefaction 0 31.257565 26.7392596
## 491 BE21 0.97147344 207 Rarefaction 0 31.874714 26.6750070
## 492 BE21 0.97525788 228 Rarefaction 0 32.434286 26.2810794
## 493 BE21 0.97822502 249 Rarefaction 0 32.922968 25.7131596
## 494 BE21 0.98047226 269 Rarefaction 0 33.336297 25.1384768
## 495 BE21 0.98235909 290 Rarefaction 0 33.726760 24.5969028
## 496 BE21 0.98385983 311 Rarefaction 0 34.081607 24.1777605
## 497 BE21 0.98499541 331 Rarefaction 0 34.393189 23.8946044
## 498 BE21 0.98592822 352 Rarefaction 0 34.698527 23.7107088
## 499 BE21 0.98663102 372 Rarefaction 0 34.979736 23.6266082
## 500 BE21 0.98665963 374 Observed 0 35.000000 23.6327338
## 501 BE21 0.98668818 375 Extrapolation 0 35.013340 23.6318365
## 502 BE21 0.98721918 394 Extrapolation 0 35.261452 23.6074791
## 503 BE21 0.98775527 414 Extrapolation 0 35.511937 23.5813917
## 504 BE21 0.98824370 433 Extrapolation 0 35.740160 23.5576044
## 505 BE21 0.98873682 453 Extrapolation 0 35.970566 23.5350077
## 506 BE21 0.98920924 473 Extrapolation 0 36.191308 23.5173929
## 507 BE21 0.98963968 492 Extrapolation 0 36.392431 23.5069065
## 508 BE21 0.99007424 512 Extrapolation 0 36.595478 23.4940484
## 509 BE21 0.99049057 532 Extrapolation 0 36.790008 23.4794445
## 510 BE21 0.99086990 551 Extrapolation 0 36.967249 23.4644125
## 511 BE21 0.99125286 571 Extrapolation 0 37.146186 23.4478679
## 512 BE21 0.99160178 590 Extrapolation 0 37.309219 23.4320242
## 513 BE21 0.99195403 610 Extrapolation 0 37.473812 23.4162782
## 514 BE21 0.99229152 630 Extrapolation 0 37.631501 23.4014175
## 515 BE21 0.99259901 649 Extrapolation 0 37.775175 23.3865827
## 516 BE21 0.99290944 669 Extrapolation 0 37.920223 23.3703582
## 517 BE21 0.99320685 689 Extrapolation 0 38.059188 23.3536647
## 518 BE21 0.99347782 708 Extrapolation 0 38.185802 23.3374971
## 519 BE21 0.99375139 728 Extrapolation 0 38.313627 23.3202676
## 520 BE21 0.99401349 748 Extrapolation 0 38.436091 23.3029230
## 521 BE22 0.11389760 1 Rarefaction 0 1.000000 0.9056816
## 522 BE22 0.63383206 13 Rarefaction 0 7.899470 6.7276114
## 523 BE22 0.78484421 26 Rarefaction 0 11.603773 9.9321234
## 524 BE22 0.85155042 39 Rarefaction 0 13.950398 11.9529583
## 525 BE22 0.88736372 52 Rarefaction 0 15.644976 13.4440062
## 526 BE22 0.90852845 64 Rarefaction 0 16.872635 14.5537380
## 527 BE22 0.92504806 77 Rarefaction 0 17.957382 15.5591395
## 528 BE22 0.93770177 90 Rarefaction 0 18.852568 16.4068558
## 529 BE22 0.94781145 103 Rarefaction 0 19.599491 17.1135352
## 530 BE22 0.95605909 116 Rarefaction 0 20.226704 17.6797615
## 531 BE22 0.96237501 128 Rarefaction 0 20.718152 18.0755214
## 532 BE22 0.96807363 141 Rarefaction 0 21.171920 18.3426434
## 533 BE22 0.97278365 154 Rarefaction 0 21.557731 18.2590402
## 534 BE22 0.97666412 167 Rarefaction 0 21.887441 17.8490123
## 535 BE22 0.97961802 179 Rarefaction 0 22.150670 17.4218926
## 536 BE22 0.98223039 192 Rarefaction 0 22.399347 17.0041621
## 537 BE22 0.98430687 205 Rarefaction 0 22.617351 16.6732039
## 538 BE22 0.98590600 218 Rarefaction 0 22.811278 16.4315852
## 539 BE22 0.98706897 231 Rarefaction 0 22.983640 16.2833624
## 540 BE22 0.98714318 232 Observed 0 23.000000 16.2786762
## 541 BE22 0.98721696 233 Extrapolation 0 23.012857 16.2735513
## 542 BE22 0.98807002 245 Extrapolation 0 23.161503 16.1884245
## 543 BE22 0.98886616 257 Extrapolation 0 23.300229 16.1055956
## 544 BE22 0.98960916 269 Extrapolation 0 23.429698 16.0262934
## 545 BE22 0.99030258 281 Extrapolation 0 23.550527 15.9510454
## 546 BE22 0.99094973 293 Extrapolation 0 23.663292 15.8805349
## 547 BE22 0.99155369 305 Extrapolation 0 23.768532 15.8162046
## 548 BE22 0.99216258 318 Extrapolation 0 23.874632 15.7511304
## 549 BE22 0.99268560 330 Extrapolation 0 23.965768 15.6941348
## 550 BE22 0.99317372 342 Extrapolation 0 24.050823 15.6400732
## 551 BE22 0.99362927 354 Extrapolation 0 24.130201 15.5888949
## 552 BE22 0.99405441 366 Extrapolation 0 24.204283 15.5405272
## 553 BE22 0.99445118 378 Extrapolation 0 24.273420 15.4948806
## 554 BE22 0.99485120 391 Extrapolation 0 24.343123 15.4483817
## 555 BE22 0.99519480 403 Extrapolation 0 24.402995 15.4080696
## 556 BE22 0.99551547 415 Extrapolation 0 24.458872 15.3701471
## 557 BE22 0.99581474 427 Extrapolation 0 24.511020 15.3342794
## 558 BE22 0.99609404 439 Extrapolation 0 24.559688 15.3010379
## 559 BE22 0.99635470 451 Extrapolation 0 24.605108 15.2696347
## 560 BE22 0.99661749 464 Extrapolation 0 24.650899 15.2378128
## 561 BE23 0.14398109 1 Rarefaction 0 1.000000 0.8785650
## 562 BE23 0.67438601 13 Rarefaction 0 7.303659 6.0067576
## 563 BE23 0.80211093 25 Rarefaction 0 10.396892 8.5540934
## 564 BE23 0.86004708 37 Rarefaction 0 12.413750 10.1615372
## 565 BE23 0.89180865 49 Rarefaction 0 13.902559 11.3235425
## 566 BE23 0.91378586 62 Rarefaction 0 15.168012 12.2721562
## 567 BE23 0.92844610 74 Rarefaction 0 16.118073 12.9428615
## 568 BE23 0.93994475 86 Rarefaction 0 16.910939 13.4747698
## 569 BE23 0.94924853 98 Rarefaction 0 17.578553 13.9078761
## 570 BE23 0.95743028 111 Rarefaction 0 18.187332 14.2910975
## 571 BE23 0.96355586 123 Rarefaction 0 18.663241 14.5429803
## 572 BE23 0.96853028 135 Rarefaction 0 19.072158 14.5622809
## 573 BE23 0.97251859 147 Rarefaction 0 19.426952 14.2869835
## 574 BE23 0.97565663 159 Rarefaction 0 19.738685 13.9455859
## 575 BE23 0.97822831 172 Rarefaction 0 20.038857 13.5840019
## 576 BE23 0.97993955 184 Rarefaction 0 20.290118 13.3539830
## 577 BE23 0.98109522 196 Rarefaction 0 20.523969 13.2502460
## 578 BE23 0.98175904 208 Rarefaction 0 20.746715 13.2764621
## 579 BE23 0.98198198 220 Rarefaction 0 20.968406 13.4293069
## 580 BE23 0.98203617 222 Observed 0 21.000000 13.4416622
## 581 BE23 0.98209020 223 Extrapolation 0 21.017964 13.4470179
## 582 BE23 0.98267387 234 Extrapolation 0 21.212036 13.4691374
## 583 BE23 0.98328894 246 Extrapolation 0 21.416544 13.4868224
## 584 BE23 0.98383354 257 Extrapolation 0 21.597627 13.5002714
## 585 BE23 0.98440744 269 Extrapolation 0 21.788447 13.5124866
## 586 BE23 0.98496096 281 Extrapolation 0 21.972493 13.5227337
## 587 BE23 0.98545108 292 Extrapolation 0 22.135458 13.5310474
## 588 BE23 0.98596756 304 Extrapolation 0 22.307185 13.5401877
## 589 BE23 0.98646570 316 Extrapolation 0 22.472817 13.5565598
## 590 BE23 0.98690678 327 Extrapolation 0 22.619476 13.5658561
## 591 BE23 0.98737157 339 Extrapolation 0 22.774021 13.5686430
## 592 BE23 0.98778313 350 Extrapolation 0 22.910864 13.5700621
## 593 BE23 0.98821682 362 Extrapolation 0 23.055065 13.5705353
## 594 BE23 0.98863511 374 Extrapolation 0 23.194148 13.5700251
## 595 BE23 0.98900549 385 Extrapolation 0 23.317299 13.5688113
## 596 BE23 0.98939579 397 Extrapolation 0 23.447072 13.5667770
## 597 BE23 0.98977223 409 Extrapolation 0 23.572239 13.5641028
## 598 BE23 0.99010555 420 Extrapolation 0 23.683068 13.5611680
## 599 BE23 0.99045679 432 Extrapolation 0 23.799857 13.5575131
## 600 BE23 0.99079557 444 Extrapolation 0 23.912500 13.5534445
## 601 BE24 0.32822193 1 Rarefaction 0 1.000001 0.8614510
## 602 BE24 0.76899938 18 Rarefaction 0 6.864984 5.3751792
## 603 BE24 0.85329053 35 Rarefaction 0 10.030666 8.3705539
## 604 BE24 0.89676414 52 Rarefaction 0 12.141488 10.3792205
## 605 BE24 0.92253699 69 Rarefaction 0 13.673474 11.8179703
## 606 BE24 0.94020765 87 Rarefaction 0 14.906928 12.9590648
## 607 BE24 0.95179681 104 Rarefaction 0 15.825389 13.8003070
## 608 BE24 0.96036233 121 Rarefaction 0 16.572932 14.4757784
## 609 BE24 0.96694561 138 Rarefaction 0 17.191822 15.0201226
## 610 BE24 0.97243795 156 Rarefaction 0 17.738221 15.4779289
## 611 BE24 0.97662723 173 Rarefaction 0 18.172099 15.8089300
## 612 BE24 0.98009597 190 Rarefaction 0 18.540800 16.0341108
## 613 BE24 0.98300766 207 Rarefaction 0 18.855179 16.1425242
## 614 BE24 0.98547700 224 Rarefaction 0 19.123735 16.0694036
## 615 BE24 0.98770162 242 Rarefaction 0 19.365698 15.9189103
## 616 BE24 0.98949886 259 Rarefaction 0 19.560013 15.7285022
## 617 BE24 0.99104790 276 Rarefaction 0 19.725817 15.5359196
## 618 BE24 0.99238278 293 Rarefaction 0 19.867040 15.3492708
## 619 BE24 0.99358974 310 Rarefaction 0 19.989164 15.1727522
## 620 BE24 0.99365099 312 Observed 0 20.000000 15.1685774
## 621 BE24 0.99371165 313 Extrapolation 0 20.006349 15.1592956
## 622 BE24 0.99460702 329 Extrapolation 0 20.100065 15.0165391
## 623 BE24 0.99537491 345 Extrapolation 0 20.180437 14.8875577
## 624 BE24 0.99607135 362 Extrapolation 0 20.253331 14.7656509
## 625 BE24 0.99663074 378 Extrapolation 0 20.311880 14.6645471
## 626 BE24 0.99711047 394 Extrapolation 0 20.362093 14.5758104
## 627 BE24 0.99754558 411 Extrapolation 0 20.407634 14.4940392
## 628 BE24 0.99789505 427 Extrapolation 0 20.444212 14.4275228
## 629 BE24 0.99819477 443 Extrapolation 0 20.475582 14.3699037
## 630 BE24 0.99846660 460 Extrapolation 0 20.504034 14.3172004
## 631 BE24 0.99868493 476 Extrapolation 0 20.526886 14.2745690
## 632 BE24 0.99888296 493 Extrapolation 0 20.547613 14.2356761
## 633 BE24 0.99904201 509 Extrapolation 0 20.564260 14.2042813
## 634 BE24 0.99917841 525 Extrapolation 0 20.578537 14.1772472
## 635 BE24 0.99930213 542 Extrapolation 0 20.591486 14.1526395
## 636 BE24 0.99940149 558 Extrapolation 0 20.601886 14.1328143
## 637 BE24 0.99948671 574 Extrapolation 0 20.610806 14.1157684
## 638 BE24 0.99956400 591 Extrapolation 0 20.618896 14.1002734
## 639 BE24 0.99962608 607 Extrapolation 0 20.625393 14.0878034
## 640 BE24 0.99968239 624 Extrapolation 0 20.631286 14.0764749
## 641 BE25 0.11156453 1 Rarefaction 0 1.000004 0.8859838
## 642 BE25 0.61809147 14 Rarefaction 0 8.523517 7.3071020
## 643 BE25 0.75669055 27 Rarefaction 0 12.536061 10.8440109
## 644 BE25 0.82406428 40 Rarefaction 0 15.249263 13.1074003
## 645 BE25 0.86210389 53 Rarefaction 0 17.287510 14.7165166
## 646 BE25 0.88616946 66 Rarefaction 0 18.925221 15.9574440
## 647 BE25 0.90276711 79 Rarefaction 0 20.299448 16.9705076
## 648 BE25 0.91496256 92 Rarefaction 0 21.486615 17.8260468
## 649 BE25 0.92436761 105 Rarefaction 0 22.533260 18.5640511
## 650 BE25 0.93191280 118 Rarefaction 0 23.469567 19.2106438
## 651 BE25 0.93817443 131 Rarefaction 0 24.315981 19.7837950
## 652 BE25 0.94352879 144 Rarefaction 0 25.086767 20.2951474
## 653 BE25 0.94823277 157 Rarefaction 0 25.792079 20.7498876
## 654 BE25 0.95246863 170 Rarefaction 0 26.439213 21.1459948
## 655 BE25 0.95636962 183 Rarefaction 0 27.033413 21.4665387
## 656 BE25 0.96003419 196 Rarefaction 0 27.578409 21.5855611
## 657 BE25 0.96353391 209 Rarefaction 0 28.076820 21.4641850
## 658 BE25 0.96691767 222 Rarefaction 0 28.530470 21.1896473
## 659 BE25 0.97046414 236 Rarefaction 0 28.967217 20.7780509
## 660 BE25 0.97071234 237 Observed 0 29.000000 20.7491255
## 661 BE25 0.97095845 238 Extrapolation 0 29.029288 20.7168920
## 662 BE25 0.97375538 250 Extrapolation 0 29.362122 20.3416365
## 663 BE25 0.97628294 262 Extrapolation 0 29.662902 20.0182626
## 664 BE25 0.97874718 275 Extrapolation 0 29.956147 19.6592410
## 665 BE25 0.98079400 287 Extrapolation 0 30.199717 19.3379346
## 666 BE25 0.98278953 300 Extrapolation 0 30.437187 19.0050741
## 667 BE25 0.98444704 312 Extrapolation 0 30.634429 18.7173086
## 668 BE25 0.98594491 324 Extrapolation 0 30.812676 18.4475565
## 669 BE25 0.98740526 337 Extrapolation 0 30.986458 18.1756457
## 670 BE25 0.98861823 349 Extrapolation 0 31.130801 17.9456190
## 671 BE25 0.98980081 362 Extrapolation 0 31.271529 17.7161903
## 672 BE25 0.99078308 374 Extrapolation 0 31.388418 17.5224977
## 673 BE25 0.99174073 387 Extrapolation 0 31.502379 17.3304781
## 674 BE25 0.99253616 399 Extrapolation 0 31.597035 17.1704225
## 675 BE25 0.99325499 411 Extrapolation 0 31.682576 17.0240522
## 676 BE25 0.99395581 424 Extrapolation 0 31.765973 16.8803194
## 677 BE25 0.99453791 436 Extrapolation 0 31.835243 16.7601953
## 678 BE25 0.99510543 449 Extrapolation 0 31.902778 16.6424600
## 679 BE25 0.99557682 461 Extrapolation 0 31.958873 16.5442189
## 680 BE25 0.99603639 474 Extrapolation 0 32.013563 16.4480583
## 681 BE26 0.17649032 1 Rarefaction 0 1.000011 0.8998938
## 682 BE26 0.71248632 17 Rarefaction 0 8.294866 7.1078707
## 683 BE26 0.82161090 34 Rarefaction 0 12.173888 10.5154022
## 684 BE26 0.87302787 51 Rarefaction 0 14.750612 12.7118983
## 685 BE26 0.90285857 68 Rarefaction 0 16.650579 14.3216092
## 686 BE26 0.92223509 85 Rarefaction 0 18.136340 15.5960547
## 687 BE26 0.93573896 102 Rarefaction 0 19.343969 16.6522238
## 688 BE26 0.94510913 118 Rarefaction 0 20.298432 17.5027842
## 689 BE26 0.95270880 135 Rarefaction 0 21.167954 18.2884104
## 690 BE26 0.95862308 152 Rarefaction 0 21.922608 18.9713148
## 691 BE26 0.96334193 169 Rarefaction 0 22.586843 19.5619119
## 692 BE26 0.96719787 186 Rarefaction 0 23.178151 20.0715286
## 693 BE26 0.97042646 203 Rarefaction 0 23.709207 20.5072149
## 694 BE26 0.97304684 219 Rarefaction 0 24.162274 20.8175410
## 695 BE26 0.97550935 236 Rarefaction 0 24.600382 20.8657897
## 696 BE26 0.97773520 253 Rarefaction 0 24.998639 20.7089778
## 697 BE26 0.97979580 270 Rarefaction 0 25.360463 20.4500594
## 698 BE26 0.98174177 287 Rarefaction 0 25.688233 20.1184540
## 699 BE26 0.98360656 303 Rarefaction 0 25.973329 19.7228851
## 700 BE26 0.98371370 305 Observed 0 26.000000 19.7108523
## 701 BE26 0.98382015 306 Extrapolation 0 26.016286 19.6865389
## 702 BE26 0.98543170 322 Extrapolation 0 26.262853 19.3130617
## 703 BE26 0.98688273 338 Extrapolation 0 26.484861 18.9603430
## 704 BE26 0.98818924 354 Extrapolation 0 26.684756 18.6253772
## 705 BE26 0.98936561 370 Extrapolation 0 26.864742 18.3105271
## 706 BE26 0.99042482 386 Extrapolation 0 27.026800 18.0208310
## 707 BE26 0.99137853 402 Extrapolation 0 27.172718 17.7543369
## 708 BE26 0.99223724 418 Extrapolation 0 27.304101 17.5093452
## 709 BE26 0.99301043 434 Extrapolation 0 27.422399 17.2851916
## 710 BE26 0.99370660 450 Extrapolation 0 27.528914 17.0809723
## 711 BE26 0.99433344 466 Extrapolation 0 27.624819 16.8952257
## 712 BE26 0.99489784 482 Extrapolation 0 27.711173 16.7265186
## 713 BE26 0.99540602 498 Extrapolation 0 27.788925 16.5735081
## 714 BE26 0.99586359 514 Extrapolation 0 27.858933 16.4348910
## 715 BE26 0.99627559 530 Extrapolation 0 27.921968 16.3094297
## 716 BE26 0.99664655 546 Extrapolation 0 27.978725 16.1959606
## 717 BE26 0.99698056 562 Extrapolation 0 28.029829 16.0934010
## 718 BE26 0.99728130 578 Extrapolation 0 28.075842 16.0007497
## 719 BE26 0.99755209 594 Extrapolation 0 28.117273 15.9170858
## 720 BE26 0.99779591 610 Extrapolation 0 28.154577 15.8415651
## 721 BE27 0.08308635 1 Rarefaction 0 1.000004 0.8767332
## 722 BE27 0.62880853 18 Rarefaction 0 10.875745 9.4407509
## 723 BE27 0.76764436 35 Rarefaction 0 15.893032 13.8108934
## 724 BE27 0.82946971 52 Rarefaction 0 19.289492 16.6161043
## 725 BE27 0.86321009 69 Rarefaction 0 21.893523 18.6458004
## 726 BE27 0.88522295 87 Rarefaction 0 24.154245 20.2815708
## 727 BE27 0.89941483 104 Rarefaction 0 25.985423 21.5003949
## 728 BE27 0.91002167 121 Rarefaction 0 27.606655 22.5209251
## 729 BE27 0.91842870 138 Rarefaction 0 29.066563 23.4247958
## 730 BE27 0.92575202 156 Rarefaction 0 30.470592 24.2883250
## 731 BE27 0.93160818 173 Rarefaction 0 31.684711 25.0213056
## 732 BE27 0.93667686 190 Rarefaction 0 32.805833 25.6726349
## 733 BE27 0.94110356 207 Rarefaction 0 33.846082 26.2354267
## 734 BE27 0.94498420 224 Rarefaction 0 34.815560 26.6585747
## 735 BE27 0.94857320 242 Rarefaction 0 35.774586 26.4309750
## 736 BE27 0.95152591 259 Rarefaction 0 36.624651 26.0291690
## 737 BE27 0.95409683 276 Rarefaction 0 37.427632 25.6093208
## 738 BE27 0.95632134 293 Rarefaction 0 38.189723 25.2470847
## 739 BE27 0.95833333 310 Rarefaction 0 38.917532 24.9217629
## 740 BE27 0.95843614 312 Observed 0 39.000000 24.9501963
## 741 BE27 0.95853869 313 Extrapolation 0 39.041564 24.9364822
## 742 BE27 0.96014551 329 Extrapolation 0 39.692809 24.7200865
## 743 BE27 0.96169006 345 Extrapolation 0 40.318816 24.4945586
## 744 BE27 0.96326561 362 Extrapolation 0 40.957387 24.2512762
## 745 BE27 0.96468925 378 Extrapolation 0 41.534385 24.0224679
## 746 BE27 0.96605771 394 Extrapolation 0 42.089022 23.7983028
## 747 BE27 0.96745363 411 Extrapolation 0 42.654791 23.5677233
## 748 BE27 0.96871496 427 Extrapolation 0 43.166006 23.3659290
## 749 BE27 0.96992740 443 Extrapolation 0 43.657410 23.1636967
## 750 BE27 0.97116418 460 Extrapolation 0 44.158677 22.9455090
## 751 BE27 0.97228171 476 Extrapolation 0 44.611610 22.7452626
## 752 BE27 0.97342166 493 Extrapolation 0 45.073633 22.5315613
## 753 BE27 0.97445170 509 Extrapolation 0 45.491107 22.3329238
## 754 BE27 0.97544182 525 Extrapolation 0 45.892402 22.1371434
## 755 BE27 0.97645181 542 Extrapolation 0 46.301752 21.9326872
## 756 BE27 0.97736441 558 Extrapolation 0 46.671630 21.7440588
## 757 BE27 0.97824165 574 Extrapolation 0 47.027174 21.5595228
## 758 BE27 0.97913649 591 Extrapolation 0 47.389854 21.3683334
## 759 BE27 0.97994505 607 Extrapolation 0 47.717564 21.1931751
## 760 BE27 0.98076984 624 Extrapolation 0 48.051851 21.0118733
## 761 BE28 0.07690575 1 Rarefaction 0 1.000000 0.9317885
## 762 BE28 0.59781719 15 Rarefaction 0 9.699110 8.5661258
## 763 BE28 0.76084622 30 Rarefaction 0 14.392766 12.8548052
## 764 BE28 0.83276122 45 Rarefaction 0 17.418907 15.5204083
## 765 BE28 0.87147042 59 Rarefaction 0 19.488163 17.2866598
## 766 BE28 0.89842546 74 Rarefaction 0 21.213805 18.7423455
## 767 BE28 0.91688642 89 Rarefaction 0 22.600171 19.9048571
## 768 BE28 0.93019342 104 Rarefaction 0 23.748697 20.8543850
## 769 BE28 0.93961588 118 Rarefaction 0 24.662034 21.5893562
## 770 BE28 0.94754955 133 Rarefaction 0 25.509952 22.2439459
## 771 BE28 0.95390878 148 Rarefaction 0 26.250541 22.7836333
## 772 BE28 0.95879774 162 Rarefaction 0 26.863021 23.1999151
## 773 BE28 0.96316970 177 Rarefaction 0 27.449457 23.5645600
## 774 BE28 0.96681914 192 Rarefaction 0 27.975553 23.8737701
## 775 BE28 0.96986874 207 Rarefaction 0 28.451233 24.1475467
## 776 BE28 0.97225314 221 Rarefaction 0 28.857092 24.3787798
## 777 BE28 0.97437953 236 Rarefaction 0 29.257897 24.6101311
## 778 BE28 0.97612038 251 Rarefaction 0 29.629572 24.8354480
## 779 BE28 0.97752809 265 Rarefaction 0 29.963526 25.0492028
## 780 BE28 0.97761225 267 Observed 0 30.000000 25.0819521
## 781 BE28 0.97769610 268 Extrapolation 0 30.022388 25.0913781
## 782 BE28 0.97883755 282 Extrapolation 0 30.327153 25.2912456
## 783 BE28 0.97992058 296 Extrapolation 0 30.616322 25.4736988
## 784 BE28 0.98094818 310 Extrapolation 0 30.890692 25.6414022
## 785 BE28 0.98192319 324 Extrapolation 0 31.151020 25.7956946
## 786 BE28 0.98284831 338 Extrapolation 0 31.398026 25.9366983
## 787 BE28 0.98372608 352 Extrapolation 0 31.632391 26.0666267
## 788 BE28 0.98455893 366 Extrapolation 0 31.854761 26.1883537
## 789 BE28 0.98534915 380 Extrapolation 0 32.065752 26.3079143
## 790 BE28 0.98609894 394 Extrapolation 0 32.265944 26.4193920
## 791 BE28 0.98681035 408 Extrapolation 0 32.455891 26.5209026
## 792 BE28 0.98748536 422 Extrapolation 0 32.636118 26.6136361
## 793 BE28 0.98812582 436 Extrapolation 0 32.807121 26.6986529
## 794 BE28 0.98873350 450 Extrapolation 0 32.969372 26.7760800
## 795 BE28 0.98931008 464 Extrapolation 0 33.123321 26.8489952
## 796 BE28 0.98985716 478 Extrapolation 0 33.269390 26.9151626
## 797 BE28 0.99037624 492 Extrapolation 0 33.407984 26.9760315
## 798 BE28 0.99086875 506 Extrapolation 0 33.539485 27.0321266
## 799 BE28 0.99133606 520 Extrapolation 0 33.664257 27.0839099
## 800 BE28 0.99177946 534 Extrapolation 0 33.782643 27.1317852
## 801 BE29 0.10471721 1 Rarefaction 0 1.000000 0.9377051
## 802 BE29 0.63849125 14 Rarefaction 0 8.453725 7.3955979
## 803 BE29 0.78373281 27 Rarefaction 0 12.155710 10.8070893
## 804 BE29 0.86120259 41 Rarefaction 0 14.623939 13.0149518
## 805 BE29 0.90181055 54 Rarefaction 0 16.162183 14.3762185
## 806 BE29 0.92664943 67 Rarefaction 0 17.277252 15.3610320
## 807 BE29 0.94368648 81 Rarefaction 0 18.184816 16.1608256
## 808 BE29 0.95436775 94 Rarefaction 0 18.848822 16.7385481
## 809 BE29 0.96261576 108 Rarefaction 0 19.431023 17.2268932
## 810 BE29 0.96837592 121 Rarefaction 0 19.880895 17.5736346
## 811 BE29 0.97292530 134 Rarefaction 0 20.263634 17.8078360
## 812 BE29 0.97688041 148 Rarefaction 0 20.616016 17.7565124
## 813 BE29 0.97991798 161 Rarefaction 0 20.897785 17.5737348
## 814 BE29 0.98268381 175 Rarefaction 0 21.160430 17.3401114
## 815 BE29 0.98489608 188 Rarefaction 0 21.371946 17.0962462
## 816 BE29 0.98684432 201 Rarefaction 0 21.556356 16.8613657
## 817 BE29 0.98870945 215 Rarefaction 0 21.728161 16.6288015
## 818 BE29 0.99026362 228 Rarefaction 0 21.865444 16.4145619
## 819 BE29 0.99176955 242 Rarefaction 0 21.988576 16.2162647
## 820 BE29 0.99187033 243 Observed 0 22.000000 16.2053357
## 821 BE29 0.99196988 244 Extrapolation 0 22.008130 16.1902914
## 822 BE29 0.99307350 256 Extrapolation 0 22.098259 16.0191303
## 823 BE29 0.99409861 269 Extrapolation 0 22.181976 15.8562565
## 824 BE29 0.99497200 282 Extrapolation 0 22.253303 15.7152631
## 825 BE29 0.99566303 294 Extrapolation 0 22.309737 15.6039258
## 826 BE29 0.99630489 307 Extrapolation 0 22.362156 15.5002535
## 827 BE29 0.99685176 320 Extrapolation 0 22.406817 15.4064236
## 828 BE29 0.99731769 333 Extrapolation 0 22.444868 15.3258092
## 829 BE29 0.99768634 345 Extrapolation 0 22.474974 15.2615995
## 830 BE29 0.99802876 358 Extrapolation 0 22.502938 15.2016264
## 831 BE29 0.99832050 371 Extrapolation 0 22.526764 15.1502793
## 832 BE29 0.99856906 384 Extrapolation 0 22.547063 15.1063509
## 833 BE29 0.99876572 396 Extrapolation 0 22.563124 15.0714789
## 834 BE29 0.99894839 409 Extrapolation 0 22.578042 15.0389954
## 835 BE29 0.99910403 422 Extrapolation 0 22.590752 15.0112493
## 836 BE29 0.99923663 435 Extrapolation 0 22.601581 14.9875592
## 837 BE29 0.99934154 447 Extrapolation 0 22.610149 14.9687820
## 838 BE29 0.99943899 460 Extrapolation 0 22.618108 14.9513144
## 839 BE29 0.99952202 473 Extrapolation 0 22.624888 14.9364120
## 840 BE29 0.99959276 486 Extrapolation 0 22.630665 14.9237013
## 841 BE3 0.04497226 1 Rarefaction 0 1.000000 0.9618439
## 842 BE3 0.48867636 17 Rarefaction 0 12.399452 11.1446238
## 843 BE3 0.67624361 33 Rarefaction 0 18.989246 17.2478831
## 844 BE3 0.77350764 49 Rarefaction 0 23.367749 21.3026443
## 845 BE3 0.83240496 65 Rarefaction 0 26.515116 24.1908058
## 846 BE3 0.87322655 82 Rarefaction 0 29.013963 26.4707578
## 847 BE3 0.89936903 98 Rarefaction 0 30.833873 28.1275350
## 848 BE3 0.91784320 114 Rarefaction 0 32.297182 29.4519792
## 849 BE3 0.93118731 130 Rarefaction 0 33.506063 30.5237436
## 850 BE3 0.94158892 147 Rarefaction 0 34.588195 31.4344850
## 851 BE3 0.94897040 163 Rarefaction 0 35.464881 32.1008805
## 852 BE3 0.95475163 179 Rarefaction 0 36.236231 32.5874115
## 853 BE3 0.95940849 195 Rarefaction 0 36.924029 32.8677300
## 854 BE3 0.96325862 211 Rarefaction 0 37.543707 33.0002425
## 855 BE3 0.96670337 228 Rarefaction 0 38.139947 33.0802071
## 856 BE3 0.96948973 244 Rarefaction 0 38.651286 33.0966007
## 857 BE3 0.97193655 260 Rarefaction 0 39.120701 33.0507573
## 858 BE3 0.97411467 276 Rarefaction 0 39.553061 32.9835220
## 859 BE3 0.97619048 292 Rarefaction 0 39.958056 32.8595372
## 860 BE3 0.97630600 294 Observed 0 40.000000 32.8719952
## 861 BE3 0.97642096 295 Extrapolation 0 40.023694 32.8654235
## 862 BE3 0.97807997 310 Extrapolation 0 40.365616 32.7529612
## 863 BE3 0.97962226 325 Extrapolation 0 40.683480 32.6287569
## 864 BE3 0.98114794 341 Extrapolation 0 40.997924 32.4942094
## 865 BE3 0.98247436 356 Extrapolation 0 41.271299 32.3630223
## 866 BE3 0.98378651 372 Extrapolation 0 41.541733 32.2244249
## 867 BE3 0.98492728 387 Extrapolation 0 41.776846 32.0995564
## 868 BE3 0.98598779 402 Extrapolation 0 41.995417 31.9851289
## 869 BE3 0.98703689 418 Extrapolation 0 42.211636 31.8861448
## 870 BE3 0.98794897 433 Extrapolation 0 42.399615 31.7970680
## 871 BE3 0.98885123 449 Extrapolation 0 42.585572 31.7035364
## 872 BE3 0.98963565 464 Extrapolation 0 42.747241 31.6181251
## 873 BE3 0.99041163 480 Extrapolation 0 42.907170 31.5301095
## 874 BE3 0.99108626 495 Extrapolation 0 43.046212 31.4508904
## 875 BE3 0.99171343 510 Extrapolation 0 43.175471 31.3751064
## 876 BE3 0.99233385 526 Extrapolation 0 43.303339 31.2981971
## 877 BE3 0.99287323 541 Extrapolation 0 43.414507 31.2298291
## 878 BE3 0.99340682 557 Extrapolation 0 43.524478 31.1608871
## 879 BE3 0.99387071 572 Extrapolation 0 43.620086 31.0999739
## 880 BE3 0.99432961 588 Extrapolation 0 43.714666 31.0388616
## 881 BE30 0.13675934 1 Rarefaction 0 1.000017 0.8901844
## 882 BE30 0.69084723 15 Rarefaction 0 8.070299 6.6538614
## 883 BE30 0.81206004 30 Rarefaction 0 11.723176 9.6680334
## 884 BE30 0.86776595 45 Rarefaction 0 14.106033 11.4043680
## 885 BE30 0.89591355 59 Rarefaction 0 15.756408 12.4024825
## 886 BE30 0.91348925 74 Rarefaction 0 17.183197 13.0884684
## 887 BE30 0.92418871 89 Rarefaction 0 18.399835 13.5674568
## 888 BE30 0.93076970 103 Rarefaction 0 19.415609 13.9644794
## 889 BE30 0.93575362 118 Rarefaction 0 20.417180 14.4007866
## 890 BE30 0.93949814 133 Rarefaction 0 21.353510 14.8455973
## 891 BE30 0.94233593 147 Rarefaction 0 22.181531 15.2468541
## 892 BE30 0.94495353 162 Rarefaction 0 23.027748 15.6433347
## 893 BE30 0.94729956 177 Rarefaction 0 23.836757 15.9984193
## 894 BE30 0.94932979 191 Rarefaction 0 24.561220 16.2991037
## 895 BE30 0.95138528 206 Rarefaction 0 25.306752 16.5987538
## 896 BE30 0.95334522 221 Rarefaction 0 26.022146 16.8616598
## 897 BE30 0.95510129 235 Rarefaction 0 26.663822 17.0260507
## 898 BE30 0.95691039 250 Rarefaction 0 27.324547 17.0821943
## 899 BE30 0.95864662 264 Rarefaction 0 27.935277 17.0415860
## 900 BE30 0.95875980 266 Observed 0 28.000000 17.0611245
## 901 BE30 0.95887267 267 Extrapolation 0 28.041240 17.0527459
## 902 BE30 0.96031218 280 Extrapolation 0 28.567203 16.9844146
## 903 BE30 0.96180613 294 Extrapolation 0 29.113055 16.8890691
## 904 BE30 0.96324385 308 Extrapolation 0 29.638360 16.7817718
## 905 BE30 0.96462744 322 Extrapolation 0 30.143891 16.6617926
## 906 BE30 0.96595896 336 Extrapolation 0 30.630393 16.5493433
## 907 BE30 0.96724035 350 Extrapolation 0 31.098582 16.4457797
## 908 BE30 0.96847351 364 Extrapolation 0 31.549146 16.3252469
## 909 BE30 0.96966024 378 Extrapolation 0 31.982751 16.2123270
## 910 BE30 0.97080231 392 Extrapolation 0 32.400033 16.1005011
## 911 BE30 0.97190138 406 Extrapolation 0 32.801608 15.9874280
## 912 BE30 0.97295909 420 Extrapolation 0 33.188066 15.8798027
## 913 BE30 0.97397698 434 Extrapolation 0 33.559977 15.7878044
## 914 BE30 0.97495655 448 Extrapolation 0 33.917889 15.6909152
## 915 BE30 0.97589925 462 Extrapolation 0 34.262327 15.5817097
## 916 BE30 0.97680646 476 Extrapolation 0 34.593801 15.4628826
## 917 BE30 0.97767953 490 Extrapolation 0 34.912796 15.3367503
## 918 BE30 0.97851973 504 Extrapolation 0 35.219784 15.2051708
## 919 BE30 0.97932830 518 Extrapolation 0 35.515216 15.0697804
## 920 BE30 0.98010643 532 Extrapolation 0 35.799528 14.9320211
## 921 BE4 0.06215005 1 Rarefaction 0 1.000000 0.9484457
## 922 BE4 0.67668576 23 Rarefaction 0 13.387599 12.1825088
## 923 BE4 0.83245343 46 Rarefaction 0 18.785703 17.2090164
## 924 BE4 0.89425700 69 Rarefaction 0 21.872317 19.9468340
## 925 BE4 0.92632697 92 Rarefaction 0 23.916708 21.6071756
## 926 BE4 0.94533766 115 Rarefaction 0 25.384883 22.6258483
## 927 BE4 0.95755552 138 Rarefaction 0 26.498154 23.1267811
## 928 BE4 0.96584106 161 Rarefaction 0 27.377437 22.6529871
## 929 BE4 0.97167392 184 Rarefaction 0 28.095194 21.3474232
## 930 BE4 0.97589497 207 Rarefaction 0 28.697752 20.2168470
## 931 BE4 0.97901707 230 Rarefaction 0 29.216085 18.8854098
## 932 BE4 0.98136906 253 Rarefaction 0 29.671586 17.5866019
## 933 BE4 0.98316847 276 Rarefaction 0 30.079406 16.5471559
## 934 BE4 0.98456145 299 Rarefaction 0 30.450540 15.7638956
## 935 BE4 0.98564665 322 Rarefaction 0 30.793173 15.2111833
## 936 BE4 0.98649055 345 Rarefaction 0 31.113604 14.8366460
## 937 BE4 0.98713778 368 Rarefaction 0 31.416859 14.6010466
## 938 BE4 0.98761825 391 Rarefaction 0 31.707107 14.4908770
## 939 BE4 0.98795181 413 Rarefaction 0 31.977116 14.4822561
## 940 BE4 0.98796344 415 Observed 0 32.000000 14.4957699
## 941 BE4 0.98797506 416 Extrapolation 0 32.012037 14.4984070
## 942 BE4 0.98821647 437 Extrapolation 0 32.262138 14.5476695
## 943 BE4 0.98846418 459 Extrapolation 0 32.518765 14.5963447
## 944 BE4 0.98870668 481 Extrapolation 0 32.769997 14.6428419
## 945 BE4 0.98894408 503 Extrapolation 0 33.015949 14.6873755
## 946 BE4 0.98916604 524 Extrapolation 0 33.245895 14.7282581
## 947 BE4 0.98939379 546 Extrapolation 0 33.481842 14.7696187
## 948 BE4 0.98961675 568 Extrapolation 0 33.712829 14.8097669
## 949 BE4 0.98983502 590 Extrapolation 0 33.938960 14.8491108
## 950 BE4 0.99004871 612 Extrapolation 0 34.160338 14.8883782
## 951 BE4 0.99024849 633 Extrapolation 0 34.367310 14.9276801
## 952 BE4 0.99045348 655 Extrapolation 0 34.579683 14.9767616
## 953 BE4 0.99065416 677 Extrapolation 0 34.787592 15.0134137
## 954 BE4 0.99085063 699 Extrapolation 0 34.991130 15.0486304
## 955 BE4 0.99104296 721 Extrapolation 0 35.190389 15.0824963
## 956 BE4 0.99122278 742 Extrapolation 0 35.376682 15.1136368
## 957 BE4 0.99140729 764 Extrapolation 0 35.567836 15.1450915
## 958 BE4 0.99158793 786 Extrapolation 0 35.754972 15.1754237
## 959 BE4 0.99176476 808 Extrapolation 0 35.938174 15.2047058
## 960 BE4 0.99193788 830 Extrapolation 0 36.117525 15.2330136
## 961 BE5 0.35176229 1 Rarefaction 0 1.000010 0.8285574
## 962 BE5 0.70561256 11 Rarefaction 0 4.931668 3.1588756
## 963 BE5 0.78940782 22 Rarefaction 0 7.721932 6.2028124
## 964 BE5 0.84680118 33 Rarefaction 0 9.731950 8.2890278
## 965 BE5 0.88639406 44 Rarefaction 0 11.206001 9.7250559
## 966 BE5 0.91396158 55 Rarefaction 0 12.308908 10.7368206
## 967 BE5 0.93336106 66 Rarefaction 0 13.152247 11.4660100
## 968 BE5 0.94715820 77 Rarefaction 0 13.812090 11.9980301
## 969 BE5 0.95706396 88 Rarefaction 0 14.340881 12.3833571
## 970 BE5 0.96423172 99 Rarefaction 0 14.775257 12.6550967
## 971 BE5 0.96945379 110 Rarefaction 0 15.141114 12.8085708
## 972 BE5 0.97328841 121 Rarefaction 0 15.456892 12.7290646
## 973 BE5 0.97613936 132 Rarefaction 0 15.735721 12.7138979
## 974 BE5 0.97830520 143 Rarefaction 0 15.986848 12.7034670
## 975 BE5 0.98000924 154 Rarefaction 0 16.216635 12.6815773
## 976 BE5 0.98141829 165 Rarefaction 0 16.429282 12.6535776
## 977 BE5 0.98265471 176 Rarefaction 0 16.627386 12.6331035
## 978 BE5 0.98380479 187 Rarefaction 0 16.812386 12.6118224
## 979 BE5 0.98492462 197 Rarefaction 0 16.974141 12.5729693
## 980 BE5 0.98502546 199 Observed 0 17.000000 12.5816577
## 981 BE5 0.98512563 200 Extrapolation 0 17.014975 12.5776446
## 982 BE5 0.98609115 210 Extrapolation 0 17.159320 12.5413178
## 983 BE5 0.98699399 220 Extrapolation 0 17.294296 12.5043460
## 984 BE5 0.98791959 231 Extrapolation 0 17.432672 12.4647314
## 985 BE5 0.98870375 241 Extrapolation 0 17.549904 12.4311092
## 986 BE5 0.98950766 252 Extrapolation 0 17.670089 12.3984402
## 987 BE5 0.99018874 262 Extrapolation 0 17.771910 12.3761713
## 988 BE5 0.99082560 272 Extrapolation 0 17.867121 12.3472571
## 989 BE5 0.99147851 283 Extrapolation 0 17.964731 12.3156208
## 990 BE5 0.99203166 293 Extrapolation 0 18.047426 12.2874602
## 991 BE5 0.99259874 304 Extrapolation 0 18.132205 12.2573963
## 992 BE5 0.99307917 314 Extrapolation 0 18.204029 12.2310598
## 993 BE5 0.99357170 325 Extrapolation 0 18.277662 12.2033380
## 994 BE5 0.99398897 335 Extrapolation 0 18.340044 12.1793789
## 995 BE5 0.99437916 345 Extrapolation 0 18.398377 12.1567108
## 996 BE5 0.99477917 356 Extrapolation 0 18.458180 12.1334251
## 997 BE5 0.99511806 366 Extrapolation 0 18.508844 12.1139158
## 998 BE5 0.99546549 377 Extrapolation 0 18.560785 12.0936244
## 999 BE5 0.99575984 387 Extrapolation 0 18.604789 12.0761256
## 1000 BE5 0.99606159 398 Extrapolation 0 18.649902 12.0578942
## 1001 BE6 0.16285967 1 Rarefaction 0 1.000012 0.8347554
## 1002 BE6 0.62516067 12 Rarefaction 0 6.975708 5.5809324
## 1003 BE6 0.74446801 23 Rarefaction 0 10.431181 8.5387276
## 1004 BE6 0.81486411 35 Rarefaction 0 13.070097 10.5948964
## 1005 BE6 0.85340244 46 Rarefaction 0 14.898257 11.8806822
## 1006 BE6 0.88068502 58 Rarefaction 0 16.496120 12.9040725
## 1007 BE6 0.89790083 69 Rarefaction 0 17.717361 13.6325557
## 1008 BE6 0.91153340 81 Rarefaction 0 18.863366 14.2930967
## 1009 BE6 0.92098748 92 Rarefaction 0 19.787110 14.8163751
## 1010 BE6 0.92910660 104 Rarefaction 0 20.688741 15.3097070
## 1011 BE6 0.93515474 115 Rarefaction 0 21.437317 15.6855708
## 1012 BE6 0.94024272 126 Rarefaction 0 22.124425 15.9782341
## 1013 BE6 0.94496635 138 Rarefaction 0 22.814778 16.0157176
## 1014 BE6 0.94869527 149 Rarefaction 0 23.401035 15.9321333
## 1015 BE6 0.95221972 161 Rarefaction 0 23.996785 15.7978816
## 1016 BE6 0.95501692 172 Rarefaction 0 24.508026 15.6826457
## 1017 BE6 0.95764300 184 Rarefaction 0 25.032957 15.5936352
## 1018 BE6 0.95968731 195 Rarefaction 0 25.488356 15.5599129
## 1019 BE6 0.96153846 207 Rarefaction 0 25.960598 15.5840601
## 1020 BE6 0.96167731 208 Observed 0 26.000000 15.5922888
## 1021 BE6 0.96181566 209 Extrapolation 0 26.038323 15.5975995
## 1022 BE6 0.96317198 219 Extrapolation 0 26.414022 15.6370550
## 1023 BE6 0.96460835 230 Extrapolation 0 26.811897 15.6821396
## 1024 BE6 0.96598870 241 Extrapolation 0 27.194253 15.7258245
## 1025 BE6 0.96731521 252 Extrapolation 0 27.561697 15.7690956
## 1026 BE6 0.96858998 263 Extrapolation 0 27.914810 15.8121287
## 1027 BE6 0.96981504 274 Extrapolation 0 28.254150 15.8572771
## 1028 BE6 0.97099232 285 Extrapolation 0 28.580256 15.9024268
## 1029 BE6 0.97212368 296 Extrapolation 0 28.893643 15.9424766
## 1030 BE6 0.97321091 307 Extrapolation 0 29.194807 15.9784809
## 1031 BE6 0.97416246 317 Extrapolation 0 29.458387 16.0095123
## 1032 BE6 0.97517018 328 Extrapolation 0 29.737525 16.0461001
## 1033 BE6 0.97613860 339 Extrapolation 0 30.005776 16.1112881
## 1034 BE6 0.97706924 350 Extrapolation 0 30.263565 16.1404528
## 1035 BE6 0.97796359 361 Extrapolation 0 30.511299 16.1634078
## 1036 BE6 0.97882306 372 Extrapolation 0 30.749371 16.1836963
## 1037 BE6 0.97964900 383 Extrapolation 0 30.978158 16.2024811
## 1038 BE6 0.98044273 394 Extrapolation 0 31.198021 16.2227557
## 1039 BE6 0.98120551 405 Extrapolation 0 31.409310 16.2504235
## 1040 BE6 0.98193853 416 Extrapolation 0 31.612358 16.2642662
## 1041 BE7 0.28952439 1 Rarefaction 0 1.000012 0.9093981
## 1042 BE7 0.83973677 30 Rarefaction 0 9.448939 8.1437417
## 1043 BE7 0.90966916 60 Rarefaction 0 13.036943 11.0625469
## 1044 BE7 0.93536280 90 Rarefaction 0 15.324703 12.8371784
## 1045 BE7 0.94870255 120 Rarefaction 0 17.052653 14.1615852
## 1046 BE7 0.95704294 150 Rarefaction 0 18.462130 15.2455352
## 1047 BE7 0.96277406 180 Rarefaction 0 19.662845 16.1787684
## 1048 BE7 0.96693917 210 Rarefaction 0 20.716161 17.0055652
## 1049 BE7 0.97010412 240 Rarefaction 0 21.660100 17.7512286
## 1050 BE7 0.97261278 270 Rarefaction 0 22.519277 18.4316969
## 1051 BE7 0.97461947 299 Rarefaction 0 23.284602 19.0374255
## 1052 BE7 0.97639921 329 Rarefaction 0 24.019588 19.6147442
## 1053 BE7 0.97796738 359 Rarefaction 0 24.704430 20.1365447
## 1054 BE7 0.97938288 389 Rarefaction 0 25.344558 20.5703588
## 1055 BE7 0.98068457 419 Rarefaction 0 25.943951 20.7849896
## 1056 BE7 0.98189892 449 Rarefaction 0 26.505614 20.8144024
## 1057 BE7 0.98304485 479 Rarefaction 0 27.031879 20.6808273
## 1058 BE7 0.98413657 509 Rarefaction 0 27.524583 20.3740106
## 1059 BE7 0.98518519 539 Rarefaction 0 27.984049 19.9126427
## 1060 BE7 0.98521946 540 Observed 0 28.000000 19.8975314
## 1061 BE7 0.98525366 541 Extrapolation 0 28.014781 19.8795095
## 1062 BE7 0.98617975 569 Extrapolation 0 28.415036 19.3836995
## 1063 BE7 0.98704768 597 Extrapolation 0 28.790155 18.8880021
## 1064 BE7 0.98788919 626 Extrapolation 0 29.153854 18.3829106
## 1065 BE7 0.98864976 654 Extrapolation 0 29.482575 17.8787936
## 1066 BE7 0.98936257 682 Extrapolation 0 29.790651 17.3746922
## 1067 BE7 0.99005368 711 Extrapolation 0 30.089348 16.8631614
## 1068 BE7 0.99067832 739 Extrapolation 0 30.359318 16.3861122
## 1069 BE7 0.99126373 767 Extrapolation 0 30.612334 15.9290765
## 1070 BE7 0.99183133 796 Extrapolation 0 30.857647 15.4772798
## 1071 BE7 0.99234433 824 Extrapolation 0 31.079367 15.0636932
## 1072 BE7 0.99284172 853 Extrapolation 0 31.294337 14.6601925
## 1073 BE7 0.99329126 881 Extrapolation 0 31.488633 14.2913578
## 1074 BE7 0.99371258 909 Extrapolation 0 31.670726 13.9419505
## 1075 BE7 0.99412107 938 Extrapolation 0 31.847276 13.6000195
## 1076 BE7 0.99449028 966 Extrapolation 0 32.006846 13.2885053
## 1077 BE7 0.99483629 994 Extrapolation 0 32.156394 12.9946308
## 1078 BE7 0.99517178 1023 Extrapolation 0 32.301391 12.7080720
## 1079 BE7 0.99547500 1051 Extrapolation 0 32.432442 12.4477801
## 1080 BE7 0.99576898 1080 Extrapolation 0 32.559503 12.1943086
## 1081 BE8 0.13857829 1 Rarefaction 0 1.000001 0.8867768
## 1082 BE8 0.60221071 13 Rarefaction 0 7.833930 6.2938271
## 1083 BE8 0.73498327 25 Rarefaction 0 11.798526 9.8529517
## 1084 BE8 0.81267269 37 Rarefaction 0 14.514180 12.3307763
## 1085 BE8 0.86197643 49 Rarefaction 0 16.470223 14.1105585
## 1086 BE8 0.89495371 61 Rarefaction 0 17.932719 15.4208636
## 1087 BE8 0.91789047 73 Rarefaction 0 19.059252 16.4160042
## 1088 BE8 0.93433021 85 Rarefaction 0 19.948933 17.2012464
## 1089 BE8 0.94640008 97 Rarefaction 0 20.667020 17.8390680
## 1090 BE8 0.95544358 109 Rarefaction 0 21.257979 18.3507229
## 1091 BE8 0.96234670 121 Rarefaction 0 21.752903 18.6541805
## 1092 BE8 0.96771483 133 Rarefaction 0 22.173932 18.4243107
## 1093 BE8 0.97197212 145 Rarefaction 0 22.537003 17.8593803
## 1094 BE8 0.97541998 157 Rarefaction 0 22.853691 17.2556463
## 1095 BE8 0.97827310 169 Rarefaction 0 23.132453 16.6939436
## 1096 BE8 0.98068353 181 Rarefaction 0 23.379539 16.1884114
## 1097 BE8 0.98275793 193 Rarefaction 0 23.599635 15.7483907
## 1098 BE8 0.98457089 205 Rarefaction 0 23.796339 15.3561366
## 1099 BE8 0.98630137 218 Rarefaction 0 23.982210 14.9720202
## 1100 BE8 0.98642590 219 Observed 0 24.000000 14.9499953
## 1101 BE8 0.98654930 220 Extrapolation 0 24.013574 14.9229671
## 1102 BE8 0.98783487 231 Extrapolation 0 24.154987 14.6374387
## 1103 BE8 0.98899757 242 Extrapolation 0 24.282883 14.3744235
## 1104 BE8 0.99013960 254 Extrapolation 0 24.408507 14.1128543
## 1105 BE8 0.99108202 265 Extrapolation 0 24.512173 13.8969241
## 1106 BE8 0.99200769 277 Extrapolation 0 24.613997 13.6834187
## 1107 BE8 0.99277157 288 Extrapolation 0 24.698023 13.5053710
## 1108 BE8 0.99352187 300 Extrapolation 0 24.780556 13.3288549
## 1109 BE8 0.99414102 311 Extrapolation 0 24.848663 13.1820523
## 1110 BE8 0.99474918 323 Extrapolation 0 24.915560 13.0369513
## 1111 BE8 0.99525103 334 Extrapolation 0 24.970764 12.9165864
## 1112 BE8 0.99574397 346 Extrapolation 0 25.024987 12.7977775
## 1113 BE8 0.99615074 357 Extrapolation 0 25.069732 12.6993015
## 1114 BE8 0.99655029 369 Extrapolation 0 25.113682 12.6022034
## 1115 BE8 0.99688000 380 Extrapolation 0 25.149951 12.5218054
## 1116 BE8 0.99720385 392 Extrapolation 0 25.185574 12.4426020
## 1117 BE8 0.99747110 403 Extrapolation 0 25.214971 12.3770692
## 1118 BE8 0.99773359 415 Extrapolation 0 25.243846 12.3125519
## 1119 BE8 0.99795021 426 Extrapolation 0 25.267673 12.2592000
## 1120 BE8 0.99816297 438 Extrapolation 0 25.291078 12.2066998
## 1121 BE9 0.06994467 1 Rarefaction 0 1.000000 0.9523686
## 1122 BE9 0.61280390 18 Rarefaction 0 11.347823 10.2227655
## 1123 BE9 0.77559174 35 Rarefaction 0 16.420867 14.6531803
## 1124 BE9 0.84858099 52 Rarefaction 0 19.580956 17.2627241
## 1125 BE9 0.88763739 69 Rarefaction 0 21.812286 18.9760785
## 1126 BE9 0.91132824 86 Rarefaction 0 23.518079 20.1486240
## 1127 BE9 0.92712485 103 Rarefaction 0 24.890987 20.9598845
## 1128 BE9 0.93838890 120 Rarefaction 0 26.034800 21.4792141
## 1129 BE9 0.94677883 137 Rarefaction 0 27.011773 21.6956317
## 1130 BE9 0.95352031 155 Rarefaction 0 27.909686 21.5783299
## 1131 BE9 0.95842169 172 Rarefaction 0 28.658911 21.3819171
## 1132 BE9 0.96225640 189 Rarefaction 0 29.333756 21.1235857
## 1133 BE9 0.96527460 206 Rarefaction 0 29.950244 20.8969022
## 1134 BE9 0.96766469 223 Rarefaction 0 30.520681 20.7583617
## 1135 BE9 0.96957087 240 Rarefaction 0 31.054533 20.6952290
## 1136 BE9 0.97110286 257 Rarefaction 0 31.559108 20.7204970
## 1137 BE9 0.97234201 274 Rarefaction 0 32.040079 20.8085209
## 1138 BE9 0.97334585 291 Rarefaction 0 32.501934 20.9489282
## 1139 BE9 0.97419355 309 Rarefaction 0 32.970210 21.1509653
## 1140 BE9 0.97423524 310 Observed 0 33.000000 21.1685885
## 1141 BE9 0.97427686 311 Extrapolation 0 33.025765 21.1821345
## 1142 BE9 0.97493376 327 Extrapolation 0 33.432386 21.3869526
## 1143 BE9 0.97557389 343 Extrapolation 0 33.828623 21.5824666
## 1144 BE9 0.97619766 359 Extrapolation 0 34.214741 21.7711154
## 1145 BE9 0.97684298 376 Extrapolation 0 34.614193 21.9681931
## 1146 BE9 0.97743435 392 Extrapolation 0 34.980249 22.1691366
## 1147 BE9 0.97801062 408 Extrapolation 0 35.336958 22.3524136
## 1148 BE9 0.97857217 424 Extrapolation 0 35.684557 22.5254316
## 1149 BE9 0.97915311 441 Extrapolation 0 36.044160 22.7026186
## 1150 BE9 0.97968548 457 Extrapolation 0 36.373700 22.8656288
## 1151 BE9 0.98020426 473 Extrapolation 0 36.694823 23.0297118
## 1152 BE9 0.98070979 489 Extrapolation 0 37.007746 23.2226199
## 1153 BE9 0.98123278 506 Extrapolation 0 37.331476 23.3935888
## 1154 BE9 0.98171204 522 Extrapolation 0 37.628140 23.5449249
## 1155 BE9 0.98217907 538 Extrapolation 0 37.917229 23.6892820
## 1156 BE9 0.98263416 554 Extrapolation 0 38.198935 23.8275354
## 1157 BE9 0.98310498 571 Extrapolation 0 38.490369 23.9688092
## 1158 BE9 0.98353643 587 Extrapolation 0 38.757439 24.0975778
## 1159 BE9 0.98395687 603 Extrapolation 0 39.017688 24.2217020
## 1160 BE9 0.98439182 620 Extrapolation 0 39.286925 24.3504032
## qD.UCL
## 1 1.112603
## 2 6.090646
## 3 8.484629
## 4 10.037104
## 5 11.318479
## 6 12.349508
## 7 13.159860
## 8 13.933613
## 9 14.587401
## 10 15.219032
## 11 15.767374
## 12 16.396644
## 13 16.991477
## 14 17.534283
## 15 18.106739
## 16 18.677408
## 17 19.201806
## 18 19.747386
## 19 20.254835
## 20 20.300990
## 21 20.335160
## 22 20.762066
## 23 21.192979
## 24 21.598373
## 25 21.972314
## 26 22.347130
## 27 22.700103
## 28 23.031138
## 29 23.340255
## 30 23.627393
## 31 23.876337
## 32 24.126868
## 33 24.360130
## 34 24.577130
## 35 24.778884
## 36 24.966395
## 37 25.140630
## 38 25.302501
## 39 25.452803
## 40 25.592141
## 41 1.129474
## 42 13.391773
## 43 18.838004
## 44 22.372553
## 45 24.749006
## 46 26.564681
## 47 28.100902
## 48 29.368420
## 49 30.579449
## 50 31.713750
## 51 33.260742
## 52 35.201569
## 53 36.893592
## 54 38.447776
## 55 39.717041
## 56 40.775750
## 57 41.737830
## 58 42.548895
## 59 43.296412
## 60 43.337142
## 61 43.367506
## 62 44.034916
## 63 44.688504
## 64 45.326842
## 65 45.948755
## 66 46.579483
## 67 47.163062
## 68 47.731092
## 69 48.283380
## 70 48.819774
## 71 49.363388
## 72 49.866570
## 73 50.352137
## 74 50.822824
## 75 51.279553
## 76 51.742377
## 77 52.171318
## 78 52.587084
## 79 52.989964
## 80 53.397700
## 81 1.133684
## 82 8.524520
## 83 12.358596
## 84 14.638909
## 85 16.442520
## 86 17.712589
## 87 18.816022
## 88 19.637456
## 89 20.374470
## 90 20.935458
## 91 21.453715
## 92 21.868507
## 93 22.300178
## 94 22.748810
## 95 23.254544
## 96 23.695572
## 97 24.139074
## 98 24.506523
## 99 24.867643
## 100 24.897117
## 101 24.926199
## 102 25.204050
## 103 25.474622
## 104 25.710929
## 105 25.916077
## 106 26.093261
## 107 26.246231
## 108 26.378041
## 109 26.491441
## 110 26.588887
## 111 26.672540
## 112 26.744299
## 113 26.805815
## 114 26.858523
## 115 26.903663
## 116 26.942308
## 117 26.975383
## 118 27.003684
## 119 27.027890
## 120 27.048596
## 121 1.052183
## 122 13.973844
## 123 20.477718
## 124 25.005974
## 125 28.319687
## 126 31.062883
## 127 33.515144
## 128 35.519616
## 129 37.380558
## 130 38.956352
## 131 40.385274
## 132 41.760008
## 133 42.955075
## 134 44.123696
## 135 45.162243
## 136 46.149872
## 137 47.150197
## 138 48.070678
## 139 48.990712
## 140 49.055586
## 141 49.103676
## 142 49.903782
## 143 50.672198
## 144 51.441644
## 145 52.143737
## 146 52.866103
## 147 53.532621
## 148 54.218386
## 149 54.850504
## 150 55.501002
## 151 56.095299
## 152 56.701566
## 153 57.252450
## 154 57.812734
## 155 58.319920
## 156 58.833709
## 157 59.297251
## 158 59.765517
## 159 60.187075
## 160 60.612170
## 161 1.081681
## 162 14.726209
## 163 21.959660
## 164 26.783795
## 165 30.305700
## 166 33.350005
## 167 35.936828
## 168 38.091930
## 169 40.126973
## 170 41.986825
## 171 43.636668
## 172 45.283831
## 173 46.862824
## 174 48.315880
## 175 49.808798
## 176 51.262717
## 177 52.665434
## 178 54.134879
## 179 55.544962
## 180 55.640979
## 181 55.711974
## 182 56.944290
## 183 58.182135
## 184 59.474993
## 185 60.729386
## 186 62.057681
## 187 63.371474
## 188 64.591435
## 189 65.848190
## 190 67.067120
## 191 68.183219
## 192 69.318247
## 193 70.407618
## 194 71.397247
## 195 72.397354
## 196 73.352389
## 197 74.216551
## 198 75.086902
## 199 75.916103
## 200 76.705532
## 201 1.031518
## 202 9.061100
## 203 15.739486
## 204 20.383825
## 205 24.629477
## 206 28.154043
## 207 30.852952
## 208 33.524981
## 209 35.651057
## 210 37.833532
## 211 39.869617
## 212 41.646554
## 213 43.762359
## 214 45.539492
## 215 47.375606
## 216 49.057249
## 217 50.437501
## 218 51.869638
## 219 53.160360
## 220 53.325524
## 221 53.465048
## 222 54.549520
## 223 55.578073
## 224 56.575980
## 225 57.542547
## 226 58.590454
## 227 59.485488
## 228 60.345240
## 229 61.169489
## 230 61.958304
## 231 62.804372
## 232 63.521960
## 233 64.203412
## 234 64.854260
## 235 65.474057
## 236 66.135580
## 237 66.693110
## 238 67.225193
## 239 67.726617
## 240 68.262828
## 241 1.073310
## 242 11.228945
## 243 15.662302
## 244 18.411667
## 245 20.312430
## 246 21.768880
## 247 22.825410
## 248 23.673949
## 249 24.380939
## 250 25.023075
## 251 25.577765
## 252 26.131901
## 253 26.884637
## 254 27.642177
## 255 28.397974
## 256 29.035510
## 257 29.607637
## 258 30.157656
## 259 30.698926
## 260 30.730300
## 261 30.756753
## 262 31.215748
## 263 31.638745
## 264 32.025675
## 265 32.395082
## 266 32.712455
## 267 33.001782
## 268 33.265054
## 269 33.516867
## 270 33.732698
## 271 33.928225
## 272 34.105140
## 273 34.273696
## 274 34.417756
## 275 34.548033
## 276 34.665802
## 277 34.777834
## 278 34.873450
## 279 34.959816
## 280 35.041917
## 281 1.083340
## 282 10.616985
## 283 16.671135
## 284 20.339600
## 285 23.243517
## 286 25.283804
## 287 27.051879
## 288 28.367349
## 289 29.558920
## 290 30.487777
## 291 31.371414
## 292 32.098882
## 293 32.883305
## 294 33.916722
## 295 35.451857
## 296 36.827893
## 297 38.161721
## 298 39.207399
## 299 40.166490
## 300 40.238392
## 301 40.304484
## 302 40.799092
## 303 41.104098
## 304 41.269332
## 305 41.358671
## 306 41.406931
## 307 41.432981
## 308 41.447044
## 309 41.454633
## 310 41.458728
## 311 41.460937
## 312 41.462130
## 313 41.462773
## 314 41.463120
## 315 41.463305
## 316 41.463409
## 317 41.463463
## 318 41.463493
## 319 41.463506
## 320 41.463517
## 321 1.082295
## 322 13.968150
## 323 20.735780
## 324 25.819427
## 325 29.677452
## 326 33.121421
## 327 36.007207
## 328 38.736444
## 329 41.126328
## 330 43.483859
## 331 45.631220
## 332 47.705565
## 333 49.799765
## 334 51.670549
## 335 53.521716
## 336 55.163426
## 337 56.745795
## 338 58.138882
## 339 59.460600
## 340 59.562716
## 341 59.627260
## 342 60.803502
## 343 61.947136
## 344 63.116577
## 345 64.193546
## 346 65.284384
## 347 66.290154
## 348 67.266024
## 349 68.265300
## 350 69.187826
## 351 70.130356
## 352 70.998404
## 353 71.883811
## 354 72.699512
## 355 73.490227
## 356 74.296172
## 357 75.038830
## 358 75.796550
## 359 76.494087
## 360 77.207190
## 361 1.118720
## 362 13.146701
## 363 19.467571
## 364 23.837254
## 365 27.094537
## 366 29.617059
## 367 31.620110
## 368 33.244326
## 369 34.590080
## 370 35.731899
## 371 36.718203
## 372 37.572693
## 373 38.313312
## 374 38.984915
## 375 39.901398
## 376 40.998306
## 377 42.027631
## 378 42.883392
## 379 43.570729
## 380 43.609738
## 381 43.637567
## 382 44.147510
## 383 44.629175
## 384 45.081562
## 385 45.505130
## 386 45.900882
## 387 46.270005
## 388 46.613797
## 389 46.933625
## 390 47.230873
## 391 47.521749
## 392 47.777073
## 393 48.014020
## 394 48.233827
## 395 48.437668
## 396 48.626648
## 397 48.801811
## 398 48.964131
## 399 49.114514
## 400 49.261210
## 401 1.051064
## 402 14.076904
## 403 19.083631
## 404 22.209518
## 405 24.492498
## 406 26.265693
## 407 27.700243
## 408 28.899580
## 409 29.929312
## 410 30.832662
## 411 31.639209
## 412 32.369895
## 413 33.040031
## 414 33.661725
## 415 34.246592
## 416 34.809827
## 417 35.524511
## 418 36.381737
## 419 37.277190
## 420 37.325850
## 421 37.363459
## 422 38.206250
## 423 39.071958
## 424 39.897410
## 425 40.653220
## 426 41.318824
## 427 41.969246
## 428 42.563608
## 429 43.113994
## 430 43.616983
## 431 44.054964
## 432 44.469312
## 433 44.845239
## 434 45.186125
## 435 45.494812
## 436 45.762474
## 437 46.015944
## 438 46.244865
## 439 46.451492
## 440 46.637906
## 441 1.179824
## 442 6.241180
## 443 9.100975
## 444 11.393610
## 445 13.359339
## 446 15.201000
## 447 17.250581
## 448 19.090554
## 449 21.040650
## 450 23.231412
## 451 25.636170
## 452 27.837129
## 453 29.972879
## 454 31.569777
## 455 32.856869
## 456 33.968506
## 457 34.904819
## 458 35.693864
## 459 36.414400
## 460 36.516653
## 461 36.589199
## 462 37.126264
## 463 37.737122
## 464 38.340286
## 465 38.935628
## 466 39.450040
## 467 40.030380
## 468 40.602527
## 469 41.166304
## 470 41.721457
## 471 42.201587
## 472 42.738343
## 473 43.269238
## 474 43.792411
## 475 44.307798
## 476 44.752309
## 477 45.252867
## 478 45.745330
## 479 46.229472
## 480 46.704896
## 481 1.047538
## 482 14.281679
## 483 20.912705
## 484 25.023112
## 485 27.790018
## 486 30.005721
## 487 31.781428
## 488 33.210801
## 489 34.536005
## 490 35.775870
## 491 37.074422
## 492 38.587493
## 493 40.132776
## 494 41.534116
## 495 42.856617
## 496 43.985454
## 497 44.891774
## 498 45.686346
## 499 46.332864
## 500 46.367266
## 501 46.394844
## 502 46.915425
## 503 47.442483
## 504 47.922715
## 505 48.406124
## 506 48.865223
## 507 49.277955
## 508 49.696907
## 509 50.100572
## 510 50.470085
## 511 50.844503
## 512 51.186413
## 513 51.531345
## 514 51.861584
## 515 52.163767
## 516 52.470089
## 517 52.764711
## 518 53.034107
## 519 53.306986
## 520 53.569258
## 521 1.094318
## 522 9.071329
## 523 13.275422
## 524 15.947837
## 525 17.845946
## 526 19.191533
## 527 20.355624
## 528 21.298279
## 529 22.085447
## 530 22.773647
## 531 23.360782
## 532 24.001198
## 533 24.856422
## 534 25.925869
## 535 26.879447
## 536 27.794531
## 537 28.561498
## 538 29.190971
## 539 29.683917
## 540 29.721324
## 541 29.752162
## 542 30.134581
## 543 30.494863
## 544 30.833103
## 545 31.150008
## 546 31.446049
## 547 31.720860
## 548 31.998133
## 549 32.237402
## 550 32.461573
## 551 32.671508
## 552 32.868038
## 553 33.051960
## 554 33.237864
## 555 33.397920
## 556 33.547596
## 557 33.687760
## 558 33.818337
## 559 33.940580
## 560 34.063984
## 561 1.121435
## 562 8.600561
## 563 12.239690
## 564 14.665962
## 565 16.481575
## 566 18.063868
## 567 19.293284
## 568 20.347109
## 569 21.249229
## 570 22.083567
## 571 22.783502
## 572 23.582034
## 573 24.566920
## 574 25.531784
## 575 26.493712
## 576 27.226253
## 577 27.797692
## 578 28.216967
## 579 28.507505
## 580 28.558338
## 581 28.588910
## 582 28.954934
## 583 29.346266
## 584 29.694982
## 585 30.064407
## 586 30.422253
## 587 30.739868
## 588 31.074183
## 589 31.389074
## 590 31.673095
## 591 31.979400
## 592 32.251666
## 593 32.539596
## 594 32.818271
## 595 33.065786
## 596 33.327367
## 597 33.580375
## 598 33.804967
## 599 34.042200
## 600 34.271555
## 601 1.138551
## 602 8.354789
## 603 11.690779
## 604 13.903756
## 605 15.528979
## 606 16.854791
## 607 17.850471
## 608 18.670085
## 609 19.363521
## 610 19.998513
## 611 20.535268
## 612 21.047489
## 613 21.567833
## 614 22.178066
## 615 22.812486
## 616 23.391525
## 617 23.915714
## 618 24.384810
## 619 24.805575
## 620 24.831423
## 621 24.853402
## 622 25.183590
## 623 25.473316
## 624 25.741012
## 625 25.959213
## 626 26.148375
## 627 26.321228
## 628 26.460901
## 629 26.581261
## 630 26.690867
## 631 26.779204
## 632 26.859549
## 633 26.924239
## 634 26.979827
## 635 27.030332
## 636 27.070958
## 637 27.105843
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## 639 27.162983
## 640 27.186098
## 641 1.114025
## 642 9.739931
## 643 14.228111
## 644 17.391126
## 645 19.858503
## 646 21.892997
## 647 23.628389
## 648 25.147184
## 649 26.502470
## 650 27.728490
## 651 28.848167
## 652 29.878387
## 653 30.834271
## 654 31.732431
## 655 32.600287
## 656 33.571258
## 657 34.689454
## 658 35.871294
## 659 37.156382
## 660 37.250874
## 661 37.341683
## 662 38.382607
## 663 39.307541
## 664 40.253053
## 665 41.061500
## 666 41.869299
## 667 42.551550
## 668 43.177795
## 669 43.797269
## 670 44.315983
## 671 44.826868
## 672 45.254338
## 673 45.674280
## 674 46.023648
## 675 46.341099
## 676 46.651627
## 677 46.910291
## 678 47.163097
## 679 47.373527
## 680 47.579067
## 681 1.100129
## 682 9.481862
## 683 13.832374
## 684 16.789325
## 685 18.979548
## 686 20.676625
## 687 22.035714
## 688 23.094079
## 689 24.047497
## 690 24.873902
## 691 25.611774
## 692 26.284774
## 693 26.911200
## 694 27.507006
## 695 28.334975
## 696 29.288300
## 697 30.270866
## 698 31.258012
## 699 32.223773
## 700 32.289148
## 701 32.346034
## 702 33.212644
## 703 34.009378
## 704 34.744135
## 705 35.418957
## 706 36.032770
## 707 36.591098
## 708 37.098857
## 709 37.559606
## 710 37.976855
## 711 38.354413
## 712 38.695827
## 713 39.004342
## 714 39.282975
## 715 39.534507
## 716 39.761489
## 717 39.966256
## 718 40.150935
## 719 40.317460
## 720 40.467589
## 721 1.123275
## 722 12.310739
## 723 17.975170
## 724 21.962879
## 725 25.141245
## 726 28.026919
## 727 30.470451
## 728 32.692385
## 729 34.708331
## 730 36.652859
## 731 38.348117
## 732 39.939030
## 733 41.456737
## 734 42.972545
## 735 45.118197
## 736 47.220134
## 737 49.245943
## 738 51.132361
## 739 52.913300
## 740 53.049804
## 741 53.146646
## 742 54.665532
## 743 56.143073
## 744 57.663498
## 745 59.046303
## 746 60.379741
## 747 61.741858
## 748 62.966084
## 749 64.151124
## 750 65.371844
## 751 66.477957
## 752 67.615706
## 753 68.649291
## 754 69.647661
## 755 70.670816
## 756 71.599202
## 757 72.494826
## 758 73.411376
## 759 74.241953
## 760 75.091828
## 761 1.068212
## 762 10.832094
## 763 15.930727
## 764 19.317405
## 765 21.689666
## 766 23.685264
## 767 25.295484
## 768 26.643009
## 769 27.734711
## 770 28.775957
## 771 29.717449
## 772 30.526128
## 773 31.334355
## 774 32.077336
## 775 32.754920
## 776 33.335404
## 777 33.905662
## 778 34.423696
## 779 34.877850
## 780 34.918048
## 781 34.953397
## 782 35.363061
## 783 35.758945
## 784 36.139981
## 785 36.506346
## 786 36.859354
## 787 37.198154
## 788 37.521169
## 789 37.823589
## 790 38.112496
## 791 38.390880
## 792 38.658600
## 793 38.915589
## 794 39.162665
## 795 39.397646
## 796 39.623617
## 797 39.839937
## 798 40.046844
## 799 40.244604
## 800 40.433500
## 801 1.062295
## 802 9.511852
## 803 13.504331
## 804 16.232927
## 805 17.948148
## 806 19.193471
## 807 20.208806
## 808 20.959096
## 809 21.635153
## 810 22.188155
## 811 22.719433
## 812 23.475520
## 813 24.221835
## 814 24.980749
## 815 25.647645
## 816 26.251346
## 817 26.827520
## 818 27.316325
## 819 27.760887
## 820 27.794664
## 821 27.825968
## 822 28.177388
## 823 28.507696
## 824 28.791344
## 825 29.015549
## 826 29.224059
## 827 29.407210
## 828 29.563927
## 829 29.688349
## 830 29.804250
## 831 29.903248
## 832 29.987775
## 833 30.054769
## 834 30.117088
## 835 30.170255
## 836 30.215603
## 837 30.251517
## 838 30.284901
## 839 30.313365
## 840 30.337629
## 841 1.038156
## 842 13.654280
## 843 20.730609
## 844 25.432853
## 845 28.839425
## 846 31.557167
## 847 33.540211
## 848 35.142384
## 849 36.488382
## 850 37.741905
## 851 38.828882
## 852 39.885051
## 853 40.980327
## 854 42.087172
## 855 43.199686
## 856 44.205971
## 857 45.190645
## 858 46.122600
## 859 47.056574
## 860 47.128005
## 861 47.181964
## 862 47.978271
## 863 48.738204
## 864 49.501638
## 865 50.179577
## 866 50.859041
## 867 51.454136
## 868 52.005706
## 869 52.537127
## 870 53.002162
## 871 53.467607
## 872 53.876357
## 873 54.284231
## 874 54.641534
## 875 54.975836
## 876 55.308481
## 877 55.599185
## 878 55.888069
## 879 56.140199
## 880 56.390470
## 881 1.109849
## 882 9.486737
## 883 13.778319
## 884 16.807698
## 885 19.110334
## 886 21.277926
## 887 23.232213
## 888 24.866739
## 889 26.433573
## 890 27.861424
## 891 29.116208
## 892 30.412161
## 893 31.675094
## 894 32.823336
## 895 34.014750
## 896 35.182632
## 897 36.301593
## 898 37.566900
## 899 38.828968
## 900 38.938875
## 901 39.029734
## 902 40.149992
## 903 41.337042
## 904 42.494949
## 905 43.625990
## 906 44.711443
## 907 45.751384
## 908 46.773046
## 909 47.753174
## 910 48.699565
## 911 49.615787
## 912 50.496329
## 913 51.332150
## 914 52.144862
## 915 52.942945
## 916 53.724719
## 917 54.488842
## 918 55.234398
## 919 55.960652
## 920 56.667034
## 921 1.051554
## 922 14.592689
## 923 20.362390
## 924 23.797801
## 925 26.226240
## 926 28.143918
## 927 29.869527
## 928 32.101887
## 929 34.842964
## 930 37.178658
## 931 39.546761
## 932 41.756570
## 933 43.611657
## 934 45.137184
## 935 46.375162
## 936 47.390562
## 937 48.232671
## 938 48.923337
## 939 49.471975
## 940 49.504230
## 941 49.525666
## 942 49.976606
## 943 50.441185
## 944 50.897153
## 945 51.344522
## 946 51.763533
## 947 52.194066
## 948 52.615892
## 949 53.028810
## 950 53.432298
## 951 53.806941
## 952 54.182605
## 953 54.561770
## 954 54.933629
## 955 55.298281
## 956 55.639727
## 957 55.990581
## 958 56.334521
## 959 56.671642
## 960 57.002036
## 961 1.171463
## 962 6.704460
## 963 9.241052
## 964 11.174872
## 965 12.686946
## 966 13.880995
## 967 14.838484
## 968 15.626150
## 969 16.298405
## 970 16.895418
## 971 17.473656
## 972 18.184720
## 973 18.757544
## 974 19.270230
## 975 19.751693
## 976 20.204987
## 977 20.621669
## 978 21.012950
## 979 21.375313
## 980 21.418342
## 981 21.452304
## 982 21.777322
## 983 22.084245
## 984 22.400612
## 985 22.668698
## 986 22.941738
## 987 23.167648
## 988 23.386985
## 989 23.613842
## 990 23.807392
## 991 24.007013
## 992 24.176998
## 993 24.351986
## 994 24.500710
## 995 24.640044
## 996 24.782934
## 997 24.903772
## 998 25.027945
## 999 25.133453
## 1000 25.241910
## 1001 1.165269
## 1002 8.370483
## 1003 12.323633
## 1004 15.545297
## 1005 17.915832
## 1006 20.088167
## 1007 21.802166
## 1008 23.433636
## 1009 24.757846
## 1010 26.067775
## 1011 27.189064
## 1012 28.270616
## 1013 29.613839
## 1014 30.869937
## 1015 32.195689
## 1016 33.333407
## 1017 34.472279
## 1018 35.416800
## 1019 36.337135
## 1020 36.407711
## 1021 36.479046
## 1022 37.190989
## 1023 37.941654
## 1024 38.662682
## 1025 39.354298
## 1026 40.017491
## 1027 40.651024
## 1028 41.258085
## 1029 41.844809
## 1030 42.411133
## 1031 42.907262
## 1032 43.428950
## 1033 43.900264
## 1034 44.386676
## 1035 44.859190
## 1036 45.315046
## 1037 45.753835
## 1038 46.173287
## 1039 46.568196
## 1040 46.960449
## 1041 1.090625
## 1042 10.754136
## 1043 15.011338
## 1044 17.812228
## 1045 19.943720
## 1046 21.678724
## 1047 23.146922
## 1048 24.426757
## 1049 25.568972
## 1050 26.606856
## 1051 27.531778
## 1052 28.424431
## 1053 29.272314
## 1054 30.118757
## 1055 31.102912
## 1056 32.196825
## 1057 33.382931
## 1058 34.675156
## 1059 36.055456
## 1060 36.102469
## 1061 36.150052
## 1062 37.446372
## 1063 38.692307
## 1064 39.924798
## 1065 41.086356
## 1066 42.206609
## 1067 43.315536
## 1068 44.332525
## 1069 45.295591
## 1070 46.238015
## 1071 47.095041
## 1072 47.928482
## 1073 48.685907
## 1074 49.399501
## 1075 50.094532
## 1076 50.725186
## 1077 51.318158
## 1078 51.894709
## 1079 52.417103
## 1080 52.924698
## 1081 1.113225
## 1082 9.374033
## 1083 13.744100
## 1084 16.697583
## 1085 18.829887
## 1086 20.444574
## 1087 21.702500
## 1088 22.696621
## 1089 23.494972
## 1090 24.165235
## 1091 24.851626
## 1092 25.923552
## 1093 27.214626
## 1094 28.451736
## 1095 29.570963
## 1096 30.570666
## 1097 31.450880
## 1098 32.236542
## 1099 32.992399
## 1100 33.050005
## 1101 33.104181
## 1102 33.672534
## 1103 34.191343
## 1104 34.704160
## 1105 35.127422
## 1106 35.544575
## 1107 35.890676
## 1108 36.232257
## 1109 36.515274
## 1110 36.794169
## 1111 37.024942
## 1112 37.252196
## 1113 37.440163
## 1114 37.625161
## 1115 37.778096
## 1116 37.928546
## 1117 38.052873
## 1118 38.175140
## 1119 38.276147
## 1120 38.375455
## 1121 1.047631
## 1122 12.472881
## 1123 18.188554
## 1124 21.899189
## 1125 24.648493
## 1126 26.887533
## 1127 28.822090
## 1128 30.590385
## 1129 32.327914
## 1130 34.241043
## 1131 35.935906
## 1132 37.543926
## 1133 39.003585
## 1134 40.283000
## 1135 41.413837
## 1136 42.397719
## 1137 43.271637
## 1138 44.054939
## 1139 44.789455
## 1140 44.831411
## 1141 44.869395
## 1142 45.477819
## 1143 46.074778
## 1144 46.658366
## 1145 47.260192
## 1146 47.791362
## 1147 48.321503
## 1148 48.843683
## 1149 49.385702
## 1150 49.881770
## 1151 50.359935
## 1152 50.792873
## 1153 51.269363
## 1154 51.711356
## 1155 52.145176
## 1156 52.570335
## 1157 53.011930
## 1158 53.417300
## 1159 53.813675
## 1160 54.223447
## Assemblage Diversity Observed Estimator s.e. LCL
## 1 BE10 Species richness 15.000000 17.656604 5.6972575 15.000000
## 2 BE10 Shannon diversity 4.477834 4.637426 0.3628846 3.926185
## 3 BE10 Simpson diversity 2.522903 2.537541 0.1859209 2.173142
## 4 BE11 Species richness 32.000000 40.978723 10.8559200 32.000000
## 5 BE11 Shannon diversity 15.106089 15.873309 0.9088996 14.091898
## 6 BE11 Simpson diversity 8.586257 8.743437 0.7969410 7.181461
## 7 BE12 Species richness 21.000000 21.663477 2.4886672 21.000000
## 8 BE12 Shannon diversity 12.056420 12.708104 0.8601211 11.022297
## 9 BE12 Simpson diversity 8.084583 8.369657 0.8656708 6.672974
## 10 BE13 Species richness 42.000000 54.035178 9.9271273 42.000000
## 11 BE13 Shannon diversity 23.597320 25.773235 1.3517727 23.123809
## 12 BE13 Simpson diversity 17.905539 18.866212 1.1402880 16.631288
## 13 BE14 Species richness 46.000000 59.960674 13.0628796 46.000000
## 14 BE14 Shannon diversity 24.539775 26.883599 1.4333512 24.074282
## 15 BE14 Simpson diversity 16.693361 17.465451 1.3605937 14.798736
## 16 BE15 Species richness 41.000000 52.994540 13.5376618 41.000000
## 17 BE15 Shannon diversity 29.495851 35.477035 2.7474413 30.092149
## 18 BE15 Simpson diversity 23.275732 27.152993 2.8029341 21.659343
## 19 BE16 Species richness 25.000000 26.495690 3.3717452 25.000000
## 20 BE16 Shannon diversity 12.284503 12.775183 0.9005962 11.010047
## 21 BE16 Simpson diversity 7.426959 7.567114 0.7128453 6.169963
## 22 BE17 Species richness 31.000000 31.082935 3.3829374 31.000000
## 23 BE17 Shannon diversity 22.478066 24.240311 1.2627227 21.765420
## 24 BE17 Simpson diversity 17.691778 19.235398 1.4005278 16.490414
## 25 BE18 Species richness 47.000000 72.530811 16.7273233 47.000000
## 26 BE18 Shannon diversity 19.613692 21.717714 1.8779458 18.037007
## 27 BE18 Simpson diversity 10.576329 10.858120 1.1640443 8.576635
## 28 BE19 Species richness 37.000000 39.658937 5.6320693 37.000000
## 29 BE19 Shannon diversity 18.348002 19.482358 1.3537601 16.829037
## 30 BE19 Simpson diversity 9.926195 10.190623 1.1621535 7.912844
## 31 BE2 Species richness 32.000000 34.993088 8.8838968 32.000000
## 32 BE2 Shannon diversity 17.622988 18.391735 0.8420310 16.741384
## 33 BE2 Simpson diversity 13.375657 13.769197 0.8551387 12.093156
## 34 BE20 Species richness 20.000000 44.335570 20.9718194 20.000000
## 35 BE20 Shannon diversity 7.779758 8.839153 1.3093435 6.272887
## 36 BE20 Simpson diversity 3.955282 4.035871 0.5804102 2.898288
## 37 BE21 Species richness 35.000000 41.233289 9.0025055 35.000000
## 38 BE21 Shannon diversity 21.832030 23.108387 1.3050336 20.550568
## 39 BE21 Simpson diversity 15.823077 16.477912 1.3583863 13.815523
## 40 BE22 Species richness 23.000000 25.240302 4.7905382 23.000000
## 41 BE22 Shannon diversity 12.812872 13.553146 0.9116707 11.766304
## 42 BE22 Simpson diversity 8.494949 8.779817 0.9116767 6.992963
## 43 BE23 Species richness 21.000000 26.972973 8.3245217 21.000000
## 44 BE23 Shannon diversity 10.713187 11.393252 0.8428488 9.741299
## 45 BE23 Simpson diversity 6.764205 6.945357 0.6943003 5.584553
## 46 BE24 Species richness 20.000000 20.664530 3.4506853 20.000000
## 47 BE24 Shannon diversity 6.195198 6.407189 0.5309535 5.366540
## 48 BE24 Simpson diversity 3.026866 3.046722 0.2646240 2.528068
## 49 BE25 Species richness 29.000000 32.485232 8.6122997 29.000000
## 50 BE25 Shannon diversity 14.251109 15.343542 1.2157849 12.960648
## 51 BE25 Simpson diversity 8.672070 8.963462 1.0793685 6.847938
## 52 BE26 Species richness 26.000000 28.491803 7.1392221 26.000000
## 53 BE26 Shannon diversity 10.380759 10.906455 0.7897943 9.358486
## 54 BE26 Simpson diversity 5.580719 5.666096 0.5610228 4.566512
## 55 BE27 Species richness 39.000000 55.845833 13.0599889 39.000000
## 56 BE27 Shannon diversity 18.343938 20.174817 1.3975257 17.435717
## 57 BE27 Simpson diversity 11.624552 12.035723 1.0797232 9.919504
## 58 BE28 Species richness 30.000000 35.977528 8.3836152 30.000000
## 59 BE28 Shannon diversity 17.374372 18.650980 1.1770152 16.344073
## 60 BE28 Simpson diversity 12.443533 13.002929 1.0882768 10.869946
## 61 BE29 Species richness 22.000000 22.663923 3.3415311 22.000000
## 62 BE29 Shannon diversity 13.352550 13.998786 0.8504858 12.331864
## 63 BE29 Simpson diversity 9.224965 9.549529 0.8690791 7.846165
## 64 BE3 Species richness 40.000000 44.883333 7.9817838 40.000000
## 65 BE3 Shannon diversity 27.001927 29.282369 1.4295043 26.480593
## 66 BE3 Simpson diversity 20.738004 22.235932 1.6396684 19.022241
## 67 BE30 Species richness 28.000000 43.068139 17.7147770 28.000000
## 68 BE30 Shannon diversity 11.649885 12.687302 1.1253461 10.481665
## 69 BE30 Simpson diversity 7.142742 7.312241 0.7465621 5.849006
## 70 BE4 Species richness 32.000000 44.469880 13.0008556 32.000000
## 71 BE4 Shannon diversity 20.152640 21.220586 1.1377826 18.990574
## 72 BE4 Simpson diversity 15.525557 16.090092 1.1049703 13.924390
## 73 BE5 Species richness 17.000000 19.238693 4.2172421 17.000000
## 74 BE5 Shannon diversity 5.737908 6.031244 0.6409217 4.775060
## 75 BE5 Simpson diversity 2.816772 2.842857 0.3053522 2.244378
## 76 BE6 Species richness 26.000000 36.615385 13.8018681 26.000000
## 77 BE6 Shannon diversity 11.169507 12.249531 1.1204040 10.053579
## 78 BE6 Simpson diversity 5.992244 6.140331 0.7302654 4.709037
## 79 BE7 Species richness 28.000000 34.388148 10.4356287 28.000000
## 80 BE7 Shannon diversity 7.029619 7.275117 0.5082988 6.278869
## 81 BE7 Simpson diversity 3.438355 3.453980 0.2697828 2.925216
## 82 BE8 Species richness 24.000000 25.493151 4.5920820 24.000000
## 83 BE8 Shannon diversity 12.662098 13.446817 0.9713940 11.542919
## 84 BE8 Simpson diversity 7.016971 7.216143 0.8560601 5.538296
## 85 BE9 Species richness 33.000000 48.948387 15.7729330 33.000000
## 86 BE9 Shannon diversity 19.238117 20.809633 1.1718897 18.512772
## 87 BE9 Simpson diversity 13.708987 14.297015 1.2085892 11.928224
## UCL
## 1 28.823023
## 2 5.348667
## 3 2.901939
## 4 62.255936
## 5 17.654719
## 6 10.305412
## 7 26.541175
## 8 14.393910
## 9 10.066341
## 10 73.491990
## 11 28.422661
## 12 21.101135
## 13 85.563448
## 14 29.692915
## 15 20.132165
## 16 79.527870
## 17 40.861921
## 18 32.646643
## 19 33.104189
## 20 14.540320
## 21 8.964265
## 22 37.713370
## 23 26.715202
## 24 21.980382
## 25 105.315762
## 26 25.398420
## 27 13.139605
## 28 50.697590
## 29 22.135679
## 30 12.468402
## 31 52.405205
## 32 20.042085
## 33 15.445238
## 34 85.439581
## 35 11.405419
## 36 5.173454
## 37 58.877875
## 38 25.666206
## 39 19.140300
## 40 34.629584
## 41 15.339988
## 42 10.566670
## 43 43.288736
## 44 13.045205
## 45 8.306160
## 46 27.427749
## 47 7.447839
## 48 3.565375
## 49 49.365029
## 50 17.726437
## 51 11.078985
## 52 42.484421
## 53 12.454423
## 54 6.765681
## 55 81.442941
## 56 22.913917
## 57 14.151942
## 58 52.409112
## 59 20.957888
## 60 15.135913
## 61 29.213204
## 62 15.665707
## 63 11.252893
## 64 60.527342
## 65 32.084146
## 66 25.449623
## 67 77.788464
## 68 14.892940
## 69 8.775476
## 70 69.951088
## 71 23.450599
## 72 18.255794
## 73 27.504336
## 74 7.287427
## 75 3.441336
## 76 63.666549
## 77 14.445482
## 78 7.571625
## 79 54.841605
## 80 8.271364
## 81 3.982745
## 82 34.493466
## 83 15.350714
## 84 8.893990
## 85 79.862768
## 86 23.106495
## 87 16.665806
### a little workaround to create 29 colours and dot types ####
library(scico)
library(paletteer)
paletteer::paletteer_c("scico::berlin", 29)## <colors>
## #9EB0FFFF #89ADF4FF #73A9EAFF #5CA4DCFF #4799C9FF #3889B2FF #2F789CFF #286886FF #225771FF #1C475CFF #153748FF #122935FF #0F1C24FF #111216FF #180B09FF #220C01FF #2C0E00FF #381000FF #461300FF #561A05FF #68240FFF #7B321CFF #8E422EFF #A05342FF #B36556FF #C5766BFF #D88881FF #EB9A96FF #FFACACFF
my_palette_inext <- paletteer::paletteer_c("scico::berlin", 29)
# Species accumulation curves
ggiNEXT(birds_inext, type=1, facet.var="None") + # not all plots sampled equally
scale_color_manual(values = my_palette_inext) +
scale_fill_manual(values = my_palette_inext) +
scale_shape_manual(values = seq(1:29))# get minimum number of individuals from data
min_abund <- min(birds_inext$DataInfo$n)
bird_data2 <- as.data.frame(bird_data)
str(bird_data2)## 'data.frame': 70 obs. of 29 variables:
## $ BE10: int 0 0 0 0 0 0 0 15 0 0 ...
## $ BE11: int 0 0 0 0 1 0 0 21 0 0 ...
## $ BE12: int 0 0 0 0 0 0 0 4 0 0 ...
## $ BE13: int 0 3 0 4 2 0 0 0 1 0 ...
## $ BE14: int 0 0 0 0 2 2 11 0 1 1 ...
## $ BE15: int 0 2 5 5 0 9 1 0 0 1 ...
## $ BE16: int 0 0 0 0 0 0 0 0 0 0 ...
## $ BE17: int 0 0 3 0 0 21 0 0 0 3 ...
## $ BE18: int 1 0 4 0 2 1 0 3 0 1 ...
## $ BE19: int 0 0 0 2 0 0 0 12 0 0 ...
## $ BE2 : int 2 0 0 0 1 0 0 0 0 0 ...
## $ BE20: int 0 0 0 0 0 0 0 4 0 0 ...
## $ BE21: int 1 0 0 1 2 0 0 3 0 0 ...
## $ BE22: int 0 0 0 0 1 0 0 5 0 0 ...
## $ BE23: int 0 0 0 0 0 0 0 5 0 0 ...
## $ BE24: int 0 0 0 0 0 0 0 0 0 0 ...
## $ BE25: int 0 0 0 0 3 0 0 12 0 0 ...
## $ BE26: int 0 0 0 0 1 0 0 0 0 0 ...
## $ BE27: int 0 0 0 0 1 0 0 19 0 3 ...
## $ BE28: int 0 0 0 1 0 0 0 0 1 0 ...
## $ BE29: int 0 0 0 0 0 0 0 0 0 0 ...
## $ BE3 : int 0 2 0 0 0 0 1 0 0 0 ...
## $ BE30: int 0 0 0 0 1 1 0 0 0 0 ...
## $ BE4 : int 0 0 0 0 4 0 0 0 0 0 ...
## $ BE5 : int 0 0 0 0 0 0 0 5 0 0 ...
## $ BE6 : int 0 0 0 0 0 0 0 2 0 0 ...
## $ BE7 : int 0 0 0 0 0 0 0 37 0 0 ...
## $ BE8 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ BE9 : int 0 0 0 3 0 0 0 0 0 0 ...
# use 2x minimum number of individuals for rarefaction/extrapolation
birds_estINEXTsize <- estimateD(bird_data, q = 0, datatype = "abundance", base = "size", level = (min_abund * 2),
conf = 0.95)
birds_estINEXTsize## Assemblage m Method Order.q SC qD qD.LCL qD.UCL
## 1 BE10 298 Extrapolation 0 0.9875504 15.45303 12.59391 18.31216
## 2 BE11 298 Rarefaction 0 0.9812052 29.99164 26.76332 33.21996
## 3 BE12 298 Extrapolation 0 0.9973627 21.47799 19.18852 23.76745
## 4 BE13 298 Rarefaction 0 0.9563662 40.55495 35.95236 45.15754
## 5 BE14 298 Rarefaction 0 0.9539804 43.52956 38.31749 48.74162
## 6 BE15 298 Extrapolation 0 0.9688270 48.44774 39.02447 57.87102
## 7 BE16 298 Rarefaction 0 0.9888200 24.50655 22.20389 26.80921
## 8 BE17 298 Extrapolation 0 0.9999693 31.08237 28.38676 33.77798
## 9 BE18 298 Rarefaction 0 0.9498872 43.66224 38.44789 48.87660
## 10 BE19 298 Rarefaction 0 0.9846972 36.37941 33.05492 39.70390
## 11 BE2 298 Rarefaction 0 0.9765820 29.49552 27.19704 31.79400
## 12 BE20 298 Extrapolation 0 0.9648219 26.07815 17.93715 34.21915
## 13 BE21 298 Rarefaction 0 0.9829719 33.86571 30.79529 36.93612
## 14 BE22 298 Extrapolation 0 0.9912065 23.70803 20.48588 26.93018
## 15 BE23 298 Extrapolation 0 0.9857117 22.22210 17.51283 26.93137
## 16 BE24 298 Rarefaction 0 0.9927384 19.90441 17.60881 22.20001
## 17 BE25 298 Extrapolation 0 0.9824966 30.40233 25.95248 34.85218
## 18 BE26 298 Rarefaction 0 0.9829562 25.88297 22.74223 29.02372
## 19 BE27 298 Rarefaction 0 0.9569143 38.40692 32.47813 44.33571
## 20 BE28 298 Extrapolation 0 0.9800707 30.65641 26.51706 34.79575
## 21 BE29 298 Extrapolation 0 0.9958716 22.32677 20.06663 24.58691
## 22 BE3 298 Extrapolation 0 0.9767625 40.09409 36.40343 43.78475
## 23 BE30 298 Extrapolation 0 0.9622226 29.26520 23.06856 35.46185
## 24 BE4 298 Rarefaction 0 0.9845079 30.43505 27.21903 33.65107
## 25 BE5 298 Extrapolation 0 0.9922946 18.08674 14.01132 22.16216
## 26 BE6 298 Extrapolation 0 0.9723246 28.94929 23.18559 34.71300
## 27 BE7 298 Rarefaction 0 0.9745556 23.25916 20.70243 25.81588
## 28 BE8 298 Extrapolation 0 0.9934025 24.76742 21.34871 28.18614
## 29 BE9 298 Rarefaction 0 0.9737002 32.68743 29.28393 36.09093
# extract species richness
birds_est_sprich <- as.data.frame(cbind(site = colnames(bird_data),
sp_rich = birds_estINEXTsize$qD))
birds_est_sprich## site sp_rich
## 1 BE10 15.4530328501637
## 2 BE11 29.9916380379789
## 3 BE12 21.4779853454816
## 4 BE13 40.5549538797391
## 5 BE14 43.5295555469924
## 6 BE15 48.4477427535246
## 7 BE16 24.5065491505327
## 8 BE17 31.0823712907411
## 9 BE18 43.6622413155036
## 10 BE19 36.3794068650737
## 11 BE2 29.4955218592629
## 12 BE20 26.0781501489565
## 13 BE21 33.8657074731005
## 14 BE22 23.7080269811234
## 15 BE23 22.2220973005055
## 16 BE24 19.9044088258824
## 17 BE25 30.4023268778697
## 18 BE26 25.8829734412778
## 19 BE27 38.4069200309924
## 20 BE28 30.6564055680879
## 21 BE29 22.3267691780308
## 22 BE3 40.0940884455696
## 23 BE30 29.2652048160577
## 24 BE4 30.4350475265505
## 25 BE5 18.0867385837243
## 26 BE6 28.949294781448
## 27 BE7 23.2591575105719
## 28 BE8 24.7674210668556
## 29 BE9 32.6874308792799
Statistics!!
Question: Does urbanization have an effect on bird diversity?
We are going to run a model with the number of species as response and urbanization variables as explanatory variables.
Load environmental data
env_cov <- read.csv(here("data","data_berlin","animal_data",
"birds_transects_allenvir_100m.csv") )
head(env_cov)## site patch.lu patch.area pop_100m
## 1 BE10 park and green area 4762.0000 240.2320426
## 2 BE11 park and green area 22107.5781 41.9517209
## 3 BE12 park and green area 623.8551 64.4663933
## 4 BE13 park and green area 700876.6900 0.2617629
## 5 BE14 brownfield with meadow, shrubs and trees 1119275.5140 0.1640317
## 6 BE15 farmland 754802.5036 0.2794827
## distance_water impervious_surface light noise open_green temp_cooldown
## 1 887.99534 85.708155200 254.0484 52.66811 0.003755813 -0.4034781
## 2 182.70408 48.086350720 253.5432 61.36624 0.147960262 -0.5058560
## 3 846.25954 56.269183550 253.5924 53.33908 0.116351677 -0.4798068
## 4 89.61534 0.003294742 97.9062 22.78204 0.062367094 -0.7988746
## 5 849.76658 7.314871159 248.0444 35.69318 0.517760575 -0.6104055
## 6 1114.94496 3.692755106 238.8065 62.04909 0.692938283 -0.8771918
## temp_day temp_night tree_cover
## 1 21.85441 13.61666 6.983366
## 2 21.74545 13.03693 22.487329
## 3 21.33945 12.66102 19.374208
## 4 28.82046 16.64645 70.116086
## 5 21.35707 10.84691 36.390875
## 6 30.88368 14.75161 19.789344
## 'data.frame': 29 obs. of 13 variables:
## $ site : chr "BE10" "BE11" "BE12" "BE13" ...
## $ patch.lu : chr "park and green area" "park and green area" "park and green area" "park and green area" ...
## $ patch.area : num 4762 22108 624 700877 1119276 ...
## $ pop_100m : num 240.232 41.952 64.466 0.262 0.164 ...
## $ distance_water : num 888 182.7 846.3 89.6 849.8 ...
## $ impervious_surface: num 85.70816 48.08635 56.26918 0.00329 7.31487 ...
## $ light : num 254 253.5 253.6 97.9 248 ...
## $ noise : num 52.7 61.4 53.3 22.8 35.7 ...
## $ open_green : num 0.00376 0.14796 0.11635 0.06237 0.51776 ...
## $ temp_cooldown : num -0.403 -0.506 -0.48 -0.799 -0.61 ...
## $ temp_day : num 21.9 21.7 21.3 28.8 21.4 ...
## $ temp_night : num 13.6 13 12.7 16.6 10.8 ...
## $ tree_cover : num 6.98 22.49 19.37 70.12 36.39 ...
## site patch.lu patch.area pop_100m
## Length:29 Length:29 Min. : 624 Min. : 0.000
## Class :character Class :character 1st Qu.: 22108 1st Qu.: 3.397
## Mode :character Mode :character Median : 332616 Median : 41.952
## Mean :1101702 Mean : 69.344
## 3rd Qu.: 700877 3rd Qu.:118.731
## Max. :6995421 Max. :289.615
## distance_water impervious_surface light noise
## Min. : 89.62 Min. : 0.000 Min. : 97.91 Min. :22.78
## 1st Qu.: 308.95 1st Qu.: 7.315 1st Qu.:238.81 1st Qu.:50.24
## Median : 581.60 Median :48.086 Median :253.54 Median :55.76
## Mean : 676.67 Mean :45.063 Mean :234.06 Mean :52.80
## 3rd Qu.: 894.21 3rd Qu.:69.303 3rd Qu.:254.46 3rd Qu.:60.28
## Max. :1616.58 Max. :89.406 Max. :255.00 Max. :65.45
## open_green temp_cooldown temp_day temp_night
## Min. :0.000000 Min. :-0.9972 Min. :19.27 Min. :10.85
## 1st Qu.:0.004748 1st Qu.:-0.7463 1st Qu.:21.75 1st Qu.:12.71
## Median :0.062367 Median :-0.5619 Median :24.36 Median :13.72
## Mean :0.153202 Mean :-0.6014 Mean :24.53 Mean :14.08
## 3rd Qu.:0.147960 3rd Qu.:-0.4798 3rd Qu.:27.12 3rd Qu.:14.75
## Max. :0.998552 Max. :-0.3755 Max. :30.94 Max. :17.48
## tree_cover
## Min. : 0.1246
## 1st Qu.:14.9442
## Median :24.7570
## Mean :30.7382
## 3rd Qu.:37.6015
## Max. :79.3415
We are going to use three variables to define the ubanization gradient: tree cover, imperviousness and noise.
Prepare the data for the model
## [1] "site" "patch.lu" "patch.area"
## [4] "pop_100m" "distance_water" "impervious_surface"
## [7] "light" "noise" "open_green"
## [10] "temp_cooldown" "temp_day" "temp_night"
## [13] "tree_cover"
# Put all data together: add environmental variables to birds data
#my_model_data <- left_join(birds_est_sprich, env_cov, by = "site")
my_model_data <- merge(birds_est_sprich,env_cov,by = "site")
#select response and explanatory variables
#my_model_data <- dplyr::select(my_model_data,
# c(site, sp_rich, tree_cover, impervious_surface, noise))
my_model_data <- my_model_data[, c('site', 'sp_rich', 'tree_cover',
'impervious_surface', 'noise')]
str(my_model_data) # do you also have a chr for sp_rich?## 'data.frame': 29 obs. of 5 variables:
## $ site : chr "BE10" "BE11" "BE12" "BE13" ...
## $ sp_rich : chr "15.4530328501637" "29.9916380379789" "21.4779853454816" "40.5549538797391" ...
## $ tree_cover : num 6.98 22.49 19.37 70.12 36.39 ...
## $ impervious_surface: num 85.70816 48.08635 56.26918 0.00329 7.31487 ...
## $ noise : num 52.7 61.4 53.3 22.8 35.7 ...
## 'data.frame': 29 obs. of 5 variables:
## $ site : chr "BE10" "BE11" "BE12" "BE13" ...
## $ sp_rich : num 15.5 30 21.5 40.6 43.5 ...
## $ tree_cover : num 6.98 22.49 19.37 70.12 36.39 ...
## $ impervious_surface: num 85.70816 48.08635 56.26918 0.00329 7.31487 ...
## $ noise : num 52.7 61.4 53.3 22.8 35.7 ...
Define the model
# explore relationships between variables
ggplot(my_model_data, aes(y = sp_rich, x = tree_cover)) +
geom_point() +
geom_smooth()# build linear regression model
birds_model <- glm(sp_rich ~ tree_cover + impervious_surface + noise,
family = "gaussian",
data = my_model_data)
# View results of the model
summary(birds_model)##
## Call:
## glm(formula = sp_rich ~ tree_cover + impervious_surface + noise,
## family = "gaussian", data = my_model_data)
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 38.50520 10.13065 3.801 0.000825 ***
## tree_cover -0.04464 0.08261 -0.540 0.593673
## impervious_surface -0.19014 0.05585 -3.405 0.002240 **
## noise 0.02430 0.16490 0.147 0.884030
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## (Dispersion parameter for gaussian family taken to be 43.14488)
##
## Null deviance: 1882.4 on 28 degrees of freedom
## Residual deviance: 1078.6 on 25 degrees of freedom
## AIC: 197.17
##
## Number of Fisher Scoring iterations: 2
# bird diversity decreases with increasing urbanisation
# view the regression line through impervious surface only:
ggplot(my_model_data, aes(y = sp_rich, x = impervious_surface)) +
geom_point(size=7,alpha=0.5) +
geom_smooth(method = "lm", se = TRUE, col='red') +
xlab('impervious surface')PREDICT the model in Berlin
Load environmental rasters
##
## set working directory for maps, e.g. here geoTiffs ##
tree_raster <- rast(here::here("data","data_berlin","geo_raster_current_gtif","tree_cover_density_2012_100m_3035.tif"))
imperv_raster <- rast(here::here("data","data_berlin","geo_raster_current_gtif","imperviousness_2012_100m_3035.tif"))
noise_raster <- rast(here::here("data","data_berlin","geo_raster_current_gtif","noise_daynight_2017_100m_3035.tif"))
water_raster <- rast(here::here("data","data_berlin","geo_raster_current_gtif","water_bodies_2010_100m_3035.tif"))
#put all environmental rasters together for the prediction
#many_rasters <- list(x,x)
## this works
my_env_stack <- rast(list(tree_raster, imperv_raster, noise_raster))
# the raster the same name as the variables in the model
names(my_env_stack) <- c("tree_cover", "impervious_surface", "noise")
# the model is fitted with environmental predictor values between 0 and 100
# e.g. tree cover = 88.5 % in a 100*100 m cell
# check: my_model_data
# However, our rasters do not contain decimals (for PC storage and memory reasons)
# so we need to transform them to decimals before we predict our model
# to the whole of Berlin:
my_env_stack_2 <- my_env_stack/100 # correct values of the rastersPredict the model
## class : SpatRaster
## dimensions : 570, 657, 1 (nrow, ncol, nlyr)
## resolution : 100, 100 (x, y)
## extent : 4521040, 4586740, 3243800, 3300800 (xmin, xmax, ymin, ymax)
## coord. ref. : +proj=laea +lat_0=52 +lon_0=10 +x_0=4321000 +y_0=3210000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs
## source(s) : memory
## name : lyr1
## min value : 16.45406
## max value : 40.44094
sp_rich_pred[sp_rich_pred < 0] <- 0 # Abundance cannot be < 0
# define colors
my_palette <- c("#440154FF", "#2D708EFF", "#56C667FF", "#DCE318FF", "#FDE725FF")
# plot map
plot(sp_rich_pred, col = my_palette, breaks = c(seq(5, 55, by = 10)))
plot(water_raster, col = "darkslategray1", legend=FALSE, add = TRUE)EXTRA INFO
In iNEXT package also calculates asymptotic diversity metrics. The estimated asymptotes area calculated via the functions
ChaoRichness()for q = 0ChaoShannon()for q = 1EstSimpson()for q = 2
For example, to estimate the species richness
## Observed Estimator Est_s.e. 95% Lower 95% Upper
## Girdled 26 43.893 14.306 30.511 96.971
## Logged 37 61.403 18.532 43.502 128.583
Exercise
Some exercises.
###
## Diversity Analysis Exercise
# 1. Load the data
## - 1.1. the bird data 'birds_berlin_exercise_planillo2021.csv' and explore it (use head(), str())
## - 1.2. the environmental data 'birds_transects_allenvir_100m.csv' and explore it
# 2. Estimate alpha diversity:
## - 2.1. Choose the diversity index: q = 1 or q = 2
## - 2.2. Rarefy the samples to the appropriate size and estimate the rarefied values
# 3. Predict Hill number 1 or 2 in Berlin
## - 3.1. Choose environmental variables (up to 3)
## - 3.2. Run model with the diversity values and the environmental variables
## - 3.3. Plot the predictions
#~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~#
#### for those who like challenges
# 4. Estimate beta diversity:
## 4.1. Jaccard dissimilarity (for each pair of sites)
## 4.2. Bray-Curtis dissimilarity (for each pair of sites)
## 4.3. Compare the output of both beta-diversity metricsSession Info
## [1] "2024-12-05 14:43:55 CET"
## R version 4.3.2 (2023-10-31 ucrt)
## Platform: x86_64-w64-mingw32/x64 (64-bit)
## Running under: Windows 10 x64 (build 19044)
##
## Matrix products: default
##
##
## locale:
## [1] LC_COLLATE=English_United Kingdom.utf8
## [2] LC_CTYPE=English_United Kingdom.utf8
## [3] LC_MONETARY=English_United Kingdom.utf8
## [4] LC_NUMERIC=C
## [5] LC_TIME=C
##
## time zone: Europe/Berlin
## tzcode source: internal
##
## attached base packages:
## [1] stats4 stats graphics grDevices utils datasets methods
## [8] base
##
## other attached packages:
## [1] paletteer_1.6.0 scico_1.5.0 here_1.0.1 terra_1.7-65
## [5] lubridate_1.9.3 forcats_1.0.0 stringr_1.5.1 dplyr_1.1.4
## [9] purrr_1.0.2 readr_2.1.5 tidyr_1.3.1 tibble_3.2.1
## [13] ggplot2_3.4.4 tidyverse_2.0.0 sads_0.6.3 bbmle_1.0.25.1
## [17] iNEXT_3.0.0 vegan_2.6-4 lattice_0.22-5 permute_0.9-7
## [21] knitr_1.45
##
## loaded via a namespace (and not attached):
## [1] tidyselect_1.2.1 farver_2.1.1 fastmap_1.1.1
## [4] pracma_2.4.4 digest_0.6.34 timechange_0.2.0
## [7] lifecycle_1.0.4 cluster_2.1.4 magrittr_2.0.3
## [10] compiler_4.3.2 rlang_1.1.3 sass_0.4.7
## [13] tools_4.3.2 utf8_1.2.4 yaml_2.3.7
## [16] labeling_0.4.3 plyr_1.8.9 withr_2.5.2
## [19] numDeriv_2016.8-1.1 grid_4.3.2 fansi_1.0.5
## [22] colorspace_2.1-0 scales_1.2.1 MASS_7.3-60
## [25] poweRlaw_0.80.0 cli_3.6.2 mvtnorm_1.2-4
## [28] crayon_1.5.2 rmarkdown_2.25 ragg_1.2.6
## [31] generics_0.1.3 rstudioapi_0.15.0 reshape2_1.4.4
## [34] tzdb_0.4.0 bdsmatrix_1.3-7 cachem_1.0.8
## [37] splines_4.3.2 parallel_4.3.2 rmdformats_1.0.4
## [40] vctrs_0.6.4 Matrix_1.6-1.1 jsonlite_1.8.8
## [43] VGAM_1.1-10 bookdown_0.36 hms_1.1.3
## [46] systemfonts_1.0.5 poilog_0.4.2 jquerylib_0.1.4
## [49] glue_1.7.0 rematch2_2.1.2 codetools_0.2-19
## [52] stringi_1.8.2 gtable_0.3.4 prismatic_1.1.1
## [55] munsell_0.5.0 pillar_1.9.0 htmltools_0.5.7
## [58] R6_2.5.1 textshaping_0.3.7 rprojroot_2.0.4
## [61] evaluate_0.23 highr_0.10 bslib_0.6.0
## [64] Rcpp_1.0.12 nlme_3.1-163 mgcv_1.9-0
## [67] xfun_0.41 GUILDS_1.4.6 pkgconfig_2.0.3